author | wenzelm |
Fri, 27 Jul 2012 22:23:00 +0200 | |
changeset 48567 | 3c4d7ff75f01 |
parent 41893 | dde7df1176b7 |
child 53015 | a1119cf551e8 |
permissions | -rw-r--r-- |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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1 |
theory Class1 |
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2 |
imports "../Nominal" |
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3 |
begin |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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4 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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5 |
section {* Term-Calculus from Urban's PhD *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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6 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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7 |
atom_decl name coname |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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8 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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9 |
text {* types *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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10 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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11 |
nominal_datatype ty = |
9be4ab2acc13
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12 |
PR "string" |
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13 |
| NOT "ty" |
9be4ab2acc13
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14 |
| AND "ty" "ty" ("_ AND _" [100,100] 100) |
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15 |
| OR "ty" "ty" ("_ OR _" [100,100] 100) |
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split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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16 |
| IMP "ty" "ty" ("_ IMP _" [100,100] 100) |
9be4ab2acc13
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17 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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18 |
instantiation ty :: size |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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19 |
begin |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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20 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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21 |
nominal_primrec size_ty |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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22 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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23 |
"size (PR s) = (1::nat)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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24 |
| "size (NOT T) = 1 + size T" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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25 |
| "size (T1 AND T2) = 1 + size T1 + size T2" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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26 |
| "size (T1 OR T2) = 1 + size T1 + size T2" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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27 |
| "size (T1 IMP T2) = 1 + size T1 + size T2" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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28 |
by (rule TrueI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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29 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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30 |
instance .. |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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31 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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32 |
end |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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parents:
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33 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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34 |
lemma ty_cases: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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35 |
fixes T::ty |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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parents:
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36 |
shows "(\<exists>s. T=PR s) \<or> (\<exists>T'. T=NOT T') \<or> (\<exists>S U. T=S OR U) \<or> (\<exists>S U. T=S AND U) \<or> (\<exists>S U. T=S IMP U)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
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37 |
by (induct T rule:ty.induct) (auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
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38 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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39 |
lemma fresh_ty: |
9be4ab2acc13
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40 |
fixes a::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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41 |
and x::"name" |
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42 |
and T::"ty" |
9be4ab2acc13
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43 |
shows "a\<sharp>T" and "x\<sharp>T" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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44 |
by (nominal_induct T rule: ty.strong_induct) |
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split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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45 |
(auto simp add: fresh_string) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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46 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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47 |
text {* terms *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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48 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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49 |
nominal_datatype trm = |
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50 |
Ax "name" "coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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51 |
| Cut "\<guillemotleft>coname\<guillemotright>trm" "\<guillemotleft>name\<guillemotright>trm" ("Cut <_>._ (_)._" [100,100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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52 |
| NotR "\<guillemotleft>name\<guillemotright>trm" "coname" ("NotR (_)._ _" [100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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53 |
| NotL "\<guillemotleft>coname\<guillemotright>trm" "name" ("NotL <_>._ _" [100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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54 |
| AndR "\<guillemotleft>coname\<guillemotright>trm" "\<guillemotleft>coname\<guillemotright>trm" "coname" ("AndR <_>._ <_>._ _" [100,100,100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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55 |
| AndL1 "\<guillemotleft>name\<guillemotright>trm" "name" ("AndL1 (_)._ _" [100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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56 |
| AndL2 "\<guillemotleft>name\<guillemotright>trm" "name" ("AndL2 (_)._ _" [100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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57 |
| OrR1 "\<guillemotleft>coname\<guillemotright>trm" "coname" ("OrR1 <_>._ _" [100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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58 |
| OrR2 "\<guillemotleft>coname\<guillemotright>trm" "coname" ("OrR2 <_>._ _" [100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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59 |
| OrL "\<guillemotleft>name\<guillemotright>trm" "\<guillemotleft>name\<guillemotright>trm" "name" ("OrL (_)._ (_)._ _" [100,100,100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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60 |
| ImpR "\<guillemotleft>name\<guillemotright>(\<guillemotleft>coname\<guillemotright>trm)" "coname" ("ImpR (_).<_>._ _" [100,100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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61 |
| ImpL "\<guillemotleft>coname\<guillemotright>trm" "\<guillemotleft>name\<guillemotright>trm" "name" ("ImpL <_>._ (_)._ _" [100,100,100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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62 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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63 |
text {* named terms *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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64 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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65 |
nominal_datatype ntrm = Na "\<guillemotleft>name\<guillemotright>trm" ("((_):_)" [100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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66 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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67 |
text {* conamed terms *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
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68 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
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69 |
nominal_datatype ctrm = Co "\<guillemotleft>coname\<guillemotright>trm" ("(<_>:_)" [100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
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70 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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71 |
text {* renaming functions *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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72 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
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73 |
nominal_primrec (freshness_context: "(d::coname,e::coname)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
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74 |
crename :: "trm \<Rightarrow> coname \<Rightarrow> coname \<Rightarrow> trm" ("_[_\<turnstile>c>_]" [100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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75 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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76 |
"(Ax x a)[d\<turnstile>c>e] = (if a=d then Ax x e else Ax x a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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changeset
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77 |
| "\<lbrakk>a\<sharp>(d,e,N);x\<sharp>M\<rbrakk> \<Longrightarrow> (Cut <a>.M (x).N)[d\<turnstile>c>e] = Cut <a>.(M[d\<turnstile>c>e]) (x).(N[d\<turnstile>c>e])" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
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78 |
| "(NotR (x).M a)[d\<turnstile>c>e] = (if a=d then NotR (x).(M[d\<turnstile>c>e]) e else NotR (x).(M[d\<turnstile>c>e]) a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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79 |
| "a\<sharp>(d,e) \<Longrightarrow> (NotL <a>.M x)[d\<turnstile>c>e] = (NotL <a>.(M[d\<turnstile>c>e]) x)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
80 |
| "\<lbrakk>a\<sharp>(d,e,N,c);b\<sharp>(d,e,M,c);b\<noteq>a\<rbrakk> \<Longrightarrow> (AndR <a>.M <b>.N c)[d\<turnstile>c>e] = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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81 |
(if c=d then AndR <a>.(M[d\<turnstile>c>e]) <b>.(N[d \<turnstile>c>e]) e else AndR <a>.(M[d\<turnstile>c>e]) <b>.(N[d\<turnstile>c>e]) c)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
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82 |
| "x\<sharp>y \<Longrightarrow> (AndL1 (x).M y)[d\<turnstile>c>e] = AndL1 (x).(M[d\<turnstile>c>e]) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
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83 |
| "x\<sharp>y \<Longrightarrow> (AndL2 (x).M y)[d\<turnstile>c>e] = AndL2 (x).(M[d\<turnstile>c>e]) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
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84 |
| "a\<sharp>(d,e,b) \<Longrightarrow> (OrR1 <a>.M b)[d\<turnstile>c>e] = (if b=d then OrR1 <a>.(M[d\<turnstile>c>e]) e else OrR1 <a>.(M[d\<turnstile>c>e]) b)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
85 |
| "a\<sharp>(d,e,b) \<Longrightarrow> (OrR2 <a>.M b)[d\<turnstile>c>e] = (if b=d then OrR2 <a>.(M[d\<turnstile>c>e]) e else OrR2 <a>.(M[d\<turnstile>c>e]) b)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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86 |
| "\<lbrakk>x\<sharp>(N,z);y\<sharp>(M,z);y\<noteq>x\<rbrakk> \<Longrightarrow> (OrL (x).M (y).N z)[d\<turnstile>c>e] = OrL (x).(M[d\<turnstile>c>e]) (y).(N[d\<turnstile>c>e]) z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
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changeset
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87 |
| "a\<sharp>(d,e,b) \<Longrightarrow> (ImpR (x).<a>.M b)[d\<turnstile>c>e] = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
88 |
(if b=d then ImpR (x).<a>.(M[d\<turnstile>c>e]) e else ImpR (x).<a>.(M[d\<turnstile>c>e]) b)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
89 |
| "\<lbrakk>a\<sharp>(d,e,N);x\<sharp>(M,y)\<rbrakk> \<Longrightarrow> (ImpL <a>.M (x).N y)[d\<turnstile>c>e] = ImpL <a>.(M[d\<turnstile>c>e]) (x).(N[d\<turnstile>c>e]) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
90 |
apply(finite_guess)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
91 |
apply(rule TrueI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
92 |
apply(simp add: abs_fresh abs_supp fin_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
93 |
apply(fresh_guess)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
94 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
95 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
96 |
nominal_primrec (freshness_context: "(u::name,v::name)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
97 |
nrename :: "trm \<Rightarrow> name \<Rightarrow> name \<Rightarrow> trm" ("_[_\<turnstile>n>_]" [100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
98 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
99 |
"(Ax x a)[u\<turnstile>n>v] = (if x=u then Ax v a else Ax x a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
100 |
| "\<lbrakk>a\<sharp>N;x\<sharp>(u,v,M)\<rbrakk> \<Longrightarrow> (Cut <a>.M (x).N)[u\<turnstile>n>v] = Cut <a>.(M[u\<turnstile>n>v]) (x).(N[u\<turnstile>n>v])" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
101 |
| "x\<sharp>(u,v) \<Longrightarrow> (NotR (x).M a)[u\<turnstile>n>v] = NotR (x).(M[u\<turnstile>n>v]) a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
102 |
| "(NotL <a>.M x)[u\<turnstile>n>v] = (if x=u then NotL <a>.(M[u\<turnstile>n>v]) v else NotL <a>.(M[u\<turnstile>n>v]) x)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
103 |
| "\<lbrakk>a\<sharp>(N,c);b\<sharp>(M,c);b\<noteq>a\<rbrakk> \<Longrightarrow> (AndR <a>.M <b>.N c)[u\<turnstile>n>v] = AndR <a>.(M[u\<turnstile>n>v]) <b>.(N[u\<turnstile>n>v]) c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
104 |
| "x\<sharp>(u,v,y) \<Longrightarrow> (AndL1 (x).M y)[u\<turnstile>n>v] = (if y=u then AndL1 (x).(M[u\<turnstile>n>v]) v else AndL1 (x).(M[u\<turnstile>n>v]) y)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
105 |
| "x\<sharp>(u,v,y) \<Longrightarrow> (AndL2 (x).M y)[u\<turnstile>n>v] = (if y=u then AndL2 (x).(M[u\<turnstile>n>v]) v else AndL2 (x).(M[u\<turnstile>n>v]) y)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
106 |
| "a\<sharp>b \<Longrightarrow> (OrR1 <a>.M b)[u\<turnstile>n>v] = OrR1 <a>.(M[u\<turnstile>n>v]) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
107 |
| "a\<sharp>b \<Longrightarrow> (OrR2 <a>.M b)[u\<turnstile>n>v] = OrR2 <a>.(M[u\<turnstile>n>v]) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
108 |
| "\<lbrakk>x\<sharp>(u,v,N,z);y\<sharp>(u,v,M,z);y\<noteq>x\<rbrakk> \<Longrightarrow> (OrL (x).M (y).N z)[u\<turnstile>n>v] = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
109 |
(if z=u then OrL (x).(M[u\<turnstile>n>v]) (y).(N[u\<turnstile>n>v]) v else OrL (x).(M[u\<turnstile>n>v]) (y).(N[u\<turnstile>n>v]) z)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
110 |
| "\<lbrakk>a\<sharp>b; x\<sharp>(u,v)\<rbrakk> \<Longrightarrow> (ImpR (x).<a>.M b)[u\<turnstile>n>v] = ImpR (x).<a>.(M[u\<turnstile>n>v]) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
111 |
| "\<lbrakk>a\<sharp>N;x\<sharp>(u,v,M,y)\<rbrakk> \<Longrightarrow> (ImpL <a>.M (x).N y)[u\<turnstile>n>v] = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
112 |
(if y=u then ImpL <a>.(M[u\<turnstile>n>v]) (x).(N[u\<turnstile>n>v]) v else ImpL <a>.(M[u\<turnstile>n>v]) (x).(N[u\<turnstile>n>v]) y)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
113 |
apply(finite_guess)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
114 |
apply(rule TrueI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
115 |
apply(simp add: abs_fresh abs_supp fs_name1 fs_coname1)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
116 |
apply(fresh_guess)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
117 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
118 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
119 |
lemmas eq_bij = pt_bij[OF pt_name_inst, OF at_name_inst] pt_bij[OF pt_coname_inst, OF at_coname_inst] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
120 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
121 |
lemma crename_name_eqvt[eqvt]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
122 |
fixes pi::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
123 |
shows "pi\<bullet>(M[d\<turnstile>c>e]) = (pi\<bullet>M)[(pi\<bullet>d)\<turnstile>c>(pi\<bullet>e)]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
124 |
apply(nominal_induct M avoiding: d e rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
125 |
apply(auto simp add: fresh_bij eq_bij) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
126 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
127 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
128 |
lemma crename_coname_eqvt[eqvt]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
129 |
fixes pi::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
130 |
shows "pi\<bullet>(M[d\<turnstile>c>e]) = (pi\<bullet>M)[(pi\<bullet>d)\<turnstile>c>(pi\<bullet>e)]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
131 |
apply(nominal_induct M avoiding: d e rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
132 |
apply(auto simp add: fresh_bij eq_bij) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
133 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
134 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
135 |
lemma nrename_name_eqvt[eqvt]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
136 |
fixes pi::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
137 |
shows "pi\<bullet>(M[x\<turnstile>n>y]) = (pi\<bullet>M)[(pi\<bullet>x)\<turnstile>n>(pi\<bullet>y)]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
138 |
apply(nominal_induct M avoiding: x y rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
139 |
apply(auto simp add: fresh_bij eq_bij) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
140 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
141 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
142 |
lemma nrename_coname_eqvt[eqvt]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
143 |
fixes pi::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
144 |
shows "pi\<bullet>(M[x\<turnstile>n>y]) = (pi\<bullet>M)[(pi\<bullet>x)\<turnstile>n>(pi\<bullet>y)]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
145 |
apply(nominal_induct M avoiding: x y rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
146 |
apply(auto simp add: fresh_bij eq_bij) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
147 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
148 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
149 |
lemmas rename_eqvts = crename_name_eqvt crename_coname_eqvt |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
150 |
nrename_name_eqvt nrename_coname_eqvt |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
151 |
lemma nrename_fresh: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
152 |
assumes a: "x\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
153 |
shows "M[x\<turnstile>n>y] = M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
154 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
155 |
by (nominal_induct M avoiding: x y rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
156 |
(auto simp add: trm.inject fresh_atm abs_fresh fin_supp abs_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
157 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
158 |
lemma crename_fresh: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
159 |
assumes a: "a\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
160 |
shows "M[a\<turnstile>c>b] = M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
161 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
162 |
by (nominal_induct M avoiding: a b rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
163 |
(auto simp add: trm.inject fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
164 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
165 |
lemma nrename_nfresh: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
166 |
fixes x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
167 |
shows "x\<sharp>y\<Longrightarrow>x\<sharp>M[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
168 |
by (nominal_induct M avoiding: x y rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
169 |
(auto simp add: fresh_atm abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
170 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
171 |
lemma crename_nfresh: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
172 |
fixes x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
173 |
shows "x\<sharp>M\<Longrightarrow>x\<sharp>M[a\<turnstile>c>b]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
174 |
by (nominal_induct M avoiding: a b rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
175 |
(auto simp add: fresh_atm abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
176 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
177 |
lemma crename_cfresh: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
178 |
fixes a::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
179 |
shows "a\<sharp>b\<Longrightarrow>a\<sharp>M[a\<turnstile>c>b]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
180 |
by (nominal_induct M avoiding: a b rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
181 |
(auto simp add: fresh_atm abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
182 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
183 |
lemma nrename_cfresh: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
184 |
fixes c::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
185 |
shows "c\<sharp>M\<Longrightarrow>c\<sharp>M[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
186 |
by (nominal_induct M avoiding: x y rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
187 |
(auto simp add: fresh_atm abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
188 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
189 |
lemma nrename_nfresh': |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
190 |
fixes x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
191 |
shows "x\<sharp>(M,z,y)\<Longrightarrow>x\<sharp>M[z\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
192 |
by (nominal_induct M avoiding: x z y rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
193 |
(auto simp add: fresh_prod fresh_atm abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
194 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
195 |
lemma crename_cfresh': |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
196 |
fixes a::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
197 |
shows "a\<sharp>(M,b,c)\<Longrightarrow>a\<sharp>M[b\<turnstile>c>c]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
198 |
by (nominal_induct M avoiding: a b c rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
199 |
(auto simp add: fresh_prod fresh_atm abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
200 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
201 |
lemma nrename_rename: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
202 |
assumes a: "x'\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
203 |
shows "([(x',x)]\<bullet>M)[x'\<turnstile>n>y]= M[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
204 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
205 |
apply(nominal_induct M avoiding: x x' y rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
206 |
apply(auto simp add: abs_fresh fresh_bij fresh_atm fresh_prod fresh_right calc_atm abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
207 |
apply(auto simp add: fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
208 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
209 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
210 |
lemma crename_rename: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
211 |
assumes a: "a'\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
212 |
shows "([(a',a)]\<bullet>M)[a'\<turnstile>c>b]= M[a\<turnstile>c>b]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
213 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
214 |
apply(nominal_induct M avoiding: a a' b rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
215 |
apply(auto simp add: abs_fresh fresh_bij fresh_atm fresh_prod fresh_right calc_atm abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
216 |
apply(auto simp add: fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
217 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
218 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
219 |
lemmas rename_fresh = nrename_fresh crename_fresh |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
220 |
nrename_nfresh crename_nfresh crename_cfresh nrename_cfresh |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
221 |
nrename_nfresh' crename_cfresh' |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
222 |
nrename_rename crename_rename |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
223 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
224 |
lemma better_nrename_Cut: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
225 |
assumes a: "x\<sharp>(u,v)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
226 |
shows "(Cut <a>.M (x).N)[u\<turnstile>n>v] = Cut <a>.(M[u\<turnstile>n>v]) (x).(N[u\<turnstile>n>v])" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
227 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
228 |
obtain x'::"name" where fs1: "x'\<sharp>(M,N,a,x,u,v)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
229 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,N,a,x,u,v)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
230 |
have eq1: "(Cut <a>.M (x).N) = (Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
231 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
232 |
have "(Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N))[u\<turnstile>n>v] = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
233 |
Cut <a'>.(([(a',a)]\<bullet>M)[u\<turnstile>n>v]) (x').(([(x',x)]\<bullet>N)[u\<turnstile>n>v])" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
234 |
using fs1 fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
235 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
236 |
apply(rule nrename.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
237 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
238 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
239 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
240 |
also have "\<dots> = Cut <a>.(M[u\<turnstile>n>v]) (x).(N[u\<turnstile>n>v])" using fs1 fs2 a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
241 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
242 |
apply(simp add: trm.inject alpha fresh_atm fresh_prod rename_eqvts) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
243 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
244 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
245 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
246 |
finally show "(Cut <a>.M (x).N)[u\<turnstile>n>v] = Cut <a>.(M[u\<turnstile>n>v]) (x).(N[u\<turnstile>n>v])" using eq1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
247 |
by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
248 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
249 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
250 |
lemma better_crename_Cut: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
251 |
assumes a: "a\<sharp>(b,c)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
252 |
shows "(Cut <a>.M (x).N)[b\<turnstile>c>c] = Cut <a>.(M[b\<turnstile>c>c]) (x).(N[b\<turnstile>c>c])" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
253 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
254 |
obtain x'::"name" where fs1: "x'\<sharp>(M,N,a,x,b,c)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
255 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,N,a,x,b,c)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
256 |
have eq1: "(Cut <a>.M (x).N) = (Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
257 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
258 |
have "(Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N))[b\<turnstile>c>c] = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
259 |
Cut <a'>.(([(a',a)]\<bullet>M)[b\<turnstile>c>c]) (x').(([(x',x)]\<bullet>N)[b\<turnstile>c>c])" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
260 |
using fs1 fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
261 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
262 |
apply(rule crename.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
263 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
264 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
265 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
266 |
also have "\<dots> = Cut <a>.(M[b\<turnstile>c>c]) (x).(N[b\<turnstile>c>c])" using fs1 fs2 a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
267 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
268 |
apply(simp add: trm.inject alpha fresh_atm fresh_prod rename_eqvts) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
269 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
270 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
271 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
272 |
finally show "(Cut <a>.M (x).N)[b\<turnstile>c>c] = Cut <a>.(M[b\<turnstile>c>c]) (x).(N[b\<turnstile>c>c])" using eq1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
273 |
by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
274 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
275 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
276 |
lemma crename_id: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
277 |
shows "M[a\<turnstile>c>a] = M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
278 |
by (nominal_induct M avoiding: a rule: trm.strong_induct) (auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
279 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
280 |
lemma nrename_id: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
281 |
shows "M[x\<turnstile>n>x] = M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
282 |
by (nominal_induct M avoiding: x rule: trm.strong_induct) (auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
283 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
284 |
lemma nrename_swap: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
285 |
shows "x\<sharp>M \<Longrightarrow> [(x,y)]\<bullet>M = M[y\<turnstile>n>x]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
286 |
by (nominal_induct M avoiding: x y rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
287 |
(simp_all add: calc_atm fresh_atm trm.inject alpha abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
288 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
289 |
lemma crename_swap: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
290 |
shows "a\<sharp>M \<Longrightarrow> [(a,b)]\<bullet>M = M[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
291 |
by (nominal_induct M avoiding: a b rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
292 |
(simp_all add: calc_atm fresh_atm trm.inject alpha abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
293 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
294 |
lemma crename_ax: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
295 |
assumes a: "M[a\<turnstile>c>b] = Ax x c" "c\<noteq>a" "c\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
296 |
shows "M = Ax x c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
297 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
298 |
apply(nominal_induct M avoiding: a b x c rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
299 |
apply(simp_all add: trm.inject split: if_splits) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
300 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
301 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
302 |
lemma nrename_ax: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
303 |
assumes a: "M[x\<turnstile>n>y] = Ax z a" "z\<noteq>x" "z\<noteq>y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
304 |
shows "M = Ax z a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
305 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
306 |
apply(nominal_induct M avoiding: x y z a rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
307 |
apply(simp_all add: trm.inject split: if_splits) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
308 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
309 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
310 |
text {* substitution functions *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
311 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
312 |
lemma fresh_perm_coname: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
313 |
fixes c::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
314 |
and pi::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
315 |
and M::"trm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
316 |
assumes a: "c\<sharp>pi" "c\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
317 |
shows "c\<sharp>(pi\<bullet>M)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
318 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
319 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
320 |
apply(simp add: fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
321 |
apply(simp add: at_prm_fresh[OF at_coname_inst] fresh_list_rev) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
322 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
323 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
324 |
lemma fresh_perm_name: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
325 |
fixes x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
326 |
and pi::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
327 |
and M::"trm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
328 |
assumes a: "x\<sharp>pi" "x\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
329 |
shows "x\<sharp>(pi\<bullet>M)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
330 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
331 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
332 |
apply(simp add: fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
333 |
apply(simp add: at_prm_fresh[OF at_name_inst] fresh_list_rev) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
334 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
335 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
336 |
lemma fresh_fun_simp_NotL: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
337 |
assumes a: "x'\<sharp>P" "x'\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
338 |
shows "fresh_fun (\<lambda>x'. Cut <c>.P (x').NotL <a>.M x') = Cut <c>.P (x').NotL <a>.M x'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
339 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
340 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
341 |
apply(rule fresh_fun_app) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
342 |
apply(rule pt_name_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
343 |
apply(rule at_name_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
344 |
apply(finite_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
345 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(c,P,a,M)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
346 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
347 |
apply(rule_tac x="n" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
348 |
apply(simp add: fresh_prod abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
349 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
350 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
351 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
352 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
353 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
354 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
355 |
lemma fresh_fun_NotL[eqvt_force]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
356 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
357 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
358 |
shows "pi1\<bullet>fresh_fun (\<lambda>x'. Cut <c>.P (x').NotL <a>.M x')= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
359 |
fresh_fun (pi1\<bullet>(\<lambda>x'. Cut <c>.P (x').NotL <a>.M x'))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
360 |
and "pi2\<bullet>fresh_fun (\<lambda>x'. Cut <c>.P (x').NotL <a>.M x')= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
361 |
fresh_fun (pi2\<bullet>(\<lambda>x'. Cut <c>.P (x').NotL <a>.M x'))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
362 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
363 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
364 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
365 |
apply(auto simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
366 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
367 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
368 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
369 |
apply(rule fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
370 |
apply(rule fresh_perm_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
371 |
apply(assumption) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
372 |
apply(assumption) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
373 |
apply(rule fresh_perm_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
374 |
apply(assumption) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
375 |
apply(assumption) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
376 |
apply(simp add: at_prm_fresh[OF at_name_inst] swap_simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
377 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
378 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(P,M,pi2\<bullet>P,pi2\<bullet>M,pi2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
379 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
380 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
381 |
apply(simp add: fresh_fun_simp_NotL calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
382 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
383 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
384 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
385 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
386 |
lemma fresh_fun_simp_AndL1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
387 |
assumes a: "z'\<sharp>P" "z'\<sharp>M" "z'\<sharp>x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
388 |
shows "fresh_fun (\<lambda>z'. Cut <c>.P (z').AndL1 (x).M z') = Cut <c>.P (z').AndL1 (x).M z'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
389 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
390 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
391 |
apply(rule fresh_fun_app) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
392 |
apply(rule pt_name_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
393 |
apply(rule at_name_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
394 |
apply(finite_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
395 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(c,P,x,M)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
396 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
397 |
apply(rule_tac x="n" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
398 |
apply(simp add: fresh_prod abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
399 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
400 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
401 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
402 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
403 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
404 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
405 |
lemma fresh_fun_AndL1[eqvt_force]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
406 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
407 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
408 |
shows "pi1\<bullet>fresh_fun (\<lambda>z'. Cut <c>.P (z').AndL1 (x).M z')= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
409 |
fresh_fun (pi1\<bullet>(\<lambda>z'. Cut <c>.P (z').AndL1 (x).M z'))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
410 |
and "pi2\<bullet>fresh_fun (\<lambda>z'. Cut <c>.P (z').AndL1 (x).M z')= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
411 |
fresh_fun (pi2\<bullet>(\<lambda>z'. Cut <c>.P (z').AndL1 (x).M z'))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
412 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
413 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
414 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(P,M,x,pi1\<bullet>P,pi1\<bullet>M,pi1\<bullet>x,pi1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
415 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
416 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
417 |
apply(simp add: fresh_fun_simp_AndL1 at_prm_fresh[OF at_name_inst] swap_simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
418 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
419 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
420 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
421 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(P,M,x,pi2\<bullet>P,pi2\<bullet>M,pi2\<bullet>x,pi2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
422 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
423 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
424 |
apply(simp add: fresh_fun_simp_AndL1 calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
425 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
426 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
427 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
428 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
429 |
lemma fresh_fun_simp_AndL2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
430 |
assumes a: "z'\<sharp>P" "z'\<sharp>M" "z'\<sharp>x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
431 |
shows "fresh_fun (\<lambda>z'. Cut <c>.P (z').AndL2 (x).M z') = Cut <c>.P (z').AndL2 (x).M z'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
432 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
433 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
434 |
apply(rule fresh_fun_app) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
435 |
apply(rule pt_name_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
436 |
apply(rule at_name_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
437 |
apply(finite_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
438 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(c,P,x,M)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
439 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
440 |
apply(rule_tac x="n" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
441 |
apply(simp add: fresh_prod abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
442 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
443 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
444 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
445 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
446 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
447 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
448 |
lemma fresh_fun_AndL2[eqvt_force]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
449 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
450 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
451 |
shows "pi1\<bullet>fresh_fun (\<lambda>z'. Cut <c>.P (z').AndL2 (x).M z')= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
452 |
fresh_fun (pi1\<bullet>(\<lambda>z'. Cut <c>.P (z').AndL2 (x).M z'))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
453 |
and "pi2\<bullet>fresh_fun (\<lambda>z'. Cut <c>.P (z').AndL2 (x).M z')= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
454 |
fresh_fun (pi2\<bullet>(\<lambda>z'. Cut <c>.P (z').AndL2 (x).M z'))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
455 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
456 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
457 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(P,M,x,pi1\<bullet>P,pi1\<bullet>M,pi1\<bullet>x,pi1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
458 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
459 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
460 |
apply(simp add: fresh_fun_simp_AndL2 at_prm_fresh[OF at_name_inst] swap_simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
461 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
462 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
463 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
464 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(P,M,x,pi2\<bullet>P,pi2\<bullet>M,pi2\<bullet>x,pi2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
465 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
466 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
467 |
apply(simp add: fresh_fun_simp_AndL2 calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
468 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
469 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
470 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
471 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
472 |
lemma fresh_fun_simp_OrL: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
473 |
assumes a: "z'\<sharp>P" "z'\<sharp>M" "z'\<sharp>N" "z'\<sharp>u" "z'\<sharp>x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
474 |
shows "fresh_fun (\<lambda>z'. Cut <c>.P (z').OrL (x).M (u).N z') = Cut <c>.P (z').OrL (x).M (u).N z'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
475 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
476 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
477 |
apply(rule fresh_fun_app) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
478 |
apply(rule pt_name_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
479 |
apply(rule at_name_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
480 |
apply(finite_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
481 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(c,P,x,M,u,N)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
482 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
483 |
apply(rule_tac x="n" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
484 |
apply(simp add: fresh_prod abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
485 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
486 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
487 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
488 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
489 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
490 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
491 |
lemma fresh_fun_OrL[eqvt_force]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
492 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
493 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
494 |
shows "pi1\<bullet>fresh_fun (\<lambda>z'. Cut <c>.P (z').OrL (x).M (u).N z')= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
495 |
fresh_fun (pi1\<bullet>(\<lambda>z'. Cut <c>.P (z').OrL (x).M (u).N z'))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
496 |
and "pi2\<bullet>fresh_fun (\<lambda>z'. Cut <c>.P (z').OrL (x).M (u).N z')= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
497 |
fresh_fun (pi2\<bullet>(\<lambda>z'. Cut <c>.P (z').OrL (x).M (u).N z'))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
498 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
499 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
500 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(P,M,N,x,u,pi1\<bullet>P,pi1\<bullet>M,pi1\<bullet>N,pi1\<bullet>x,pi1\<bullet>u,pi1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
501 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
502 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
503 |
apply(simp add: fresh_fun_simp_OrL at_prm_fresh[OF at_name_inst] swap_simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
504 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
505 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
506 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
507 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(P,M,N,x,u,pi2\<bullet>P,pi2\<bullet>M,pi2\<bullet>N,pi2\<bullet>x,pi2\<bullet>u,pi2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
508 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
509 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
510 |
apply(simp add: fresh_fun_simp_OrL calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
511 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
512 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
513 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
514 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
515 |
lemma fresh_fun_simp_ImpL: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
516 |
assumes a: "z'\<sharp>P" "z'\<sharp>M" "z'\<sharp>N" "z'\<sharp>x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
517 |
shows "fresh_fun (\<lambda>z'. Cut <c>.P (z').ImpL <a>.M (x).N z') = Cut <c>.P (z').ImpL <a>.M (x).N z'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
518 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
519 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
520 |
apply(rule fresh_fun_app) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
521 |
apply(rule pt_name_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
522 |
apply(rule at_name_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
523 |
apply(finite_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
524 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(c,P,x,M,N)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
525 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
526 |
apply(rule_tac x="n" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
527 |
apply(simp add: fresh_prod abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
528 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
529 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
530 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
531 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
532 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
533 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
534 |
lemma fresh_fun_ImpL[eqvt_force]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
535 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
536 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
537 |
shows "pi1\<bullet>fresh_fun (\<lambda>z'. Cut <c>.P (z').ImpL <a>.M (x).N z')= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
538 |
fresh_fun (pi1\<bullet>(\<lambda>z'. Cut <c>.P (z').ImpL <a>.M (x).N z'))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
539 |
and "pi2\<bullet>fresh_fun (\<lambda>z'. Cut <c>.P (z').ImpL <a>.M (x).N z')= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
540 |
fresh_fun (pi2\<bullet>(\<lambda>z'. Cut <c>.P (z').ImpL <a>.M (x).N z'))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
541 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
542 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
543 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(P,M,N,x,pi1\<bullet>P,pi1\<bullet>M,pi1\<bullet>N,pi1\<bullet>x,pi1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
544 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
545 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
546 |
apply(simp add: fresh_fun_simp_ImpL at_prm_fresh[OF at_name_inst] swap_simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
547 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
548 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
549 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
550 |
apply(subgoal_tac "\<exists>n::name. n\<sharp>(P,M,N,x,pi2\<bullet>P,pi2\<bullet>M,pi2\<bullet>N,pi2\<bullet>x,pi2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
551 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
552 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
553 |
apply(simp add: fresh_fun_simp_ImpL calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
554 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
555 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
556 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
557 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
558 |
lemma fresh_fun_simp_NotR: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
559 |
assumes a: "a'\<sharp>P" "a'\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
560 |
shows "fresh_fun (\<lambda>a'. Cut <a'>.(NotR (y).M a') (x).P) = Cut <a'>.(NotR (y).M a') (x).P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
561 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
562 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
563 |
apply(rule fresh_fun_app) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
564 |
apply(rule pt_coname_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
565 |
apply(rule at_coname_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
566 |
apply(finite_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
567 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(x,P,y,M)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
568 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
569 |
apply(rule_tac x="n" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
570 |
apply(simp add: fresh_prod abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
571 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
572 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
573 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
574 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
575 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
576 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
577 |
lemma fresh_fun_NotR[eqvt_force]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
578 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
579 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
580 |
shows "pi1\<bullet>fresh_fun (\<lambda>a'. Cut <a'>.(NotR (y).M a') (x).P)= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
581 |
fresh_fun (pi1\<bullet>(\<lambda>a'. Cut <a'>.(NotR (y).M a') (x).P))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
582 |
and "pi2\<bullet>fresh_fun (\<lambda>a'. Cut <a'>.(NotR (y).M a') (x).P)= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
583 |
fresh_fun (pi2\<bullet>(\<lambda>a'. Cut <a'>.(NotR (y).M a') (x).P))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
584 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
585 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
586 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(P,M,pi1\<bullet>P,pi1\<bullet>M,pi1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
587 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
588 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
589 |
apply(simp add: fresh_fun_simp_NotR calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
590 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
591 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
592 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
593 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(P,M,pi2\<bullet>P,pi2\<bullet>M,pi2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
594 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
595 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
596 |
apply(simp add: fresh_fun_simp_NotR at_prm_fresh[OF at_coname_inst] swap_simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
597 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
598 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
599 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
600 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
601 |
lemma fresh_fun_simp_AndR: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
602 |
assumes a: "a'\<sharp>P" "a'\<sharp>M" "a'\<sharp>N" "a'\<sharp>b" "a'\<sharp>c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
603 |
shows "fresh_fun (\<lambda>a'. Cut <a'>.(AndR <b>.M <c>.N a') (x).P) = Cut <a'>.(AndR <b>.M <c>.N a') (x).P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
604 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
605 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
606 |
apply(rule fresh_fun_app) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
607 |
apply(rule pt_coname_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
608 |
apply(rule at_coname_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
609 |
apply(finite_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
610 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(x,P,b,M,c,N)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
611 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
612 |
apply(rule_tac x="n" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
613 |
apply(simp add: fresh_prod abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
614 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
615 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
616 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
617 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
618 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
619 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
620 |
lemma fresh_fun_AndR[eqvt_force]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
621 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
622 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
623 |
shows "pi1\<bullet>fresh_fun (\<lambda>a'. Cut <a'>.(AndR <b>.M <c>.N a') (x).P)= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
624 |
fresh_fun (pi1\<bullet>(\<lambda>a'. Cut <a'>.(AndR <b>.M <c>.N a') (x).P))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
625 |
and "pi2\<bullet>fresh_fun (\<lambda>a'. Cut <a'>.(AndR <b>.M <c>.N a') (x).P)= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
626 |
fresh_fun (pi2\<bullet>(\<lambda>a'. Cut <a'>.(AndR <b>.M <c>.N a') (x).P))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
627 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
628 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
629 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(P,M,N,b,c,pi1\<bullet>P,pi1\<bullet>M,pi1\<bullet>N,pi1\<bullet>b,pi1\<bullet>c,pi1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
630 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
631 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
632 |
apply(simp add: fresh_fun_simp_AndR calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
633 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
634 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
635 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
636 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(P,M,N,b,c,pi2\<bullet>P,pi2\<bullet>M,pi2\<bullet>N,pi2\<bullet>b,pi2\<bullet>c,pi2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
637 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
638 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
639 |
apply(simp add: fresh_fun_simp_AndR at_prm_fresh[OF at_coname_inst] swap_simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
640 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
641 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
642 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
643 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
644 |
lemma fresh_fun_simp_OrR1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
645 |
assumes a: "a'\<sharp>P" "a'\<sharp>M" "a'\<sharp>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
646 |
shows "fresh_fun (\<lambda>a'. Cut <a'>.(OrR1 <b>.M a') (x).P) = Cut <a'>.(OrR1 <b>.M a') (x).P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
647 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
648 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
649 |
apply(rule fresh_fun_app) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
650 |
apply(rule pt_coname_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
651 |
apply(rule at_coname_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
652 |
apply(finite_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
653 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(x,P,b,M)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
654 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
655 |
apply(rule_tac x="n" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
656 |
apply(simp add: fresh_prod abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
657 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
658 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
659 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
660 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
661 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
662 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
663 |
lemma fresh_fun_OrR1[eqvt_force]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
664 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
665 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
666 |
shows "pi1\<bullet>fresh_fun (\<lambda>a'. Cut <a'>.(OrR1 <b>.M a') (x).P)= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
667 |
fresh_fun (pi1\<bullet>(\<lambda>a'. Cut <a'>.(OrR1 <b>.M a') (x).P))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
668 |
and "pi2\<bullet>fresh_fun (\<lambda>a'. Cut <a'>.(OrR1 <b>.M a') (x).P)= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
669 |
fresh_fun (pi2\<bullet>(\<lambda>a'. Cut <a'>.(OrR1 <b>.M a') (x).P))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
670 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
671 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
672 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(P,M,b,pi1\<bullet>P,pi1\<bullet>M,pi1\<bullet>b,pi1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
673 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
674 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
675 |
apply(simp add: fresh_fun_simp_OrR1 calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
676 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
677 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
678 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
679 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(P,M,b,pi2\<bullet>P,pi2\<bullet>M,pi2\<bullet>b,pi2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
680 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
681 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
682 |
apply(simp add: fresh_fun_simp_OrR1 at_prm_fresh[OF at_coname_inst] swap_simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
683 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
684 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
685 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
686 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
687 |
lemma fresh_fun_simp_OrR2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
688 |
assumes a: "a'\<sharp>P" "a'\<sharp>M" "a'\<sharp>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
689 |
shows "fresh_fun (\<lambda>a'. Cut <a'>.(OrR2 <b>.M a') (x).P) = Cut <a'>.(OrR2 <b>.M a') (x).P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
690 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
691 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
692 |
apply(rule fresh_fun_app) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
693 |
apply(rule pt_coname_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
694 |
apply(rule at_coname_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
695 |
apply(finite_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
696 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(x,P,b,M)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
697 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
698 |
apply(rule_tac x="n" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
699 |
apply(simp add: fresh_prod abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
700 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
701 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
702 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
703 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
704 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
705 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
706 |
lemma fresh_fun_OrR2[eqvt_force]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
707 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
708 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
709 |
shows "pi1\<bullet>fresh_fun (\<lambda>a'. Cut <a'>.(OrR2 <b>.M a') (x).P)= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
710 |
fresh_fun (pi1\<bullet>(\<lambda>a'. Cut <a'>.(OrR2 <b>.M a') (x).P))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
711 |
and "pi2\<bullet>fresh_fun (\<lambda>a'. Cut <a'>.(OrR2 <b>.M a') (x).P)= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
712 |
fresh_fun (pi2\<bullet>(\<lambda>a'. Cut <a'>.(OrR2 <b>.M a') (x).P))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
713 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
714 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
715 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(P,M,b,pi1\<bullet>P,pi1\<bullet>M,pi1\<bullet>b,pi1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
716 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
717 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
718 |
apply(simp add: fresh_fun_simp_OrR2 calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
719 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
720 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
721 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
722 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(P,M,b,pi2\<bullet>P,pi2\<bullet>M,pi2\<bullet>b,pi2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
723 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
724 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
725 |
apply(simp add: fresh_fun_simp_OrR2 at_prm_fresh[OF at_coname_inst] swap_simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
726 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
727 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
728 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
729 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
730 |
lemma fresh_fun_simp_ImpR: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
731 |
assumes a: "a'\<sharp>P" "a'\<sharp>M" "a'\<sharp>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
732 |
shows "fresh_fun (\<lambda>a'. Cut <a'>.(ImpR (y).<b>.M a') (x).P) = Cut <a'>.(ImpR (y).<b>.M a') (x).P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
733 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
734 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
735 |
apply(rule fresh_fun_app) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
736 |
apply(rule pt_coname_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
737 |
apply(rule at_coname_inst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
738 |
apply(finite_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
739 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(x,P,y,b,M)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
740 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
741 |
apply(rule_tac x="n" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
742 |
apply(simp add: fresh_prod abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
743 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
744 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
745 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
746 |
apply(fresh_guess) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
747 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
748 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
749 |
lemma fresh_fun_ImpR[eqvt_force]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
750 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
751 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
752 |
shows "pi1\<bullet>fresh_fun (\<lambda>a'. Cut <a'>.(ImpR (y).<b>.M a') (x).P)= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
753 |
fresh_fun (pi1\<bullet>(\<lambda>a'. Cut <a'>.(ImpR (y).<b>.M a') (x).P))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
754 |
and "pi2\<bullet>fresh_fun (\<lambda>a'. Cut <a'>.(ImpR (y).<b>.M a') (x).P)= |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
755 |
fresh_fun (pi2\<bullet>(\<lambda>a'. Cut <a'>.(ImpR (y).<b>.M a') (x).P))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
756 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
757 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
758 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(P,M,b,pi1\<bullet>P,pi1\<bullet>M,pi1\<bullet>b,pi1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
759 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
760 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
761 |
apply(simp add: fresh_fun_simp_ImpR calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
762 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
763 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
764 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
765 |
apply(subgoal_tac "\<exists>n::coname. n\<sharp>(P,M,b,pi2\<bullet>P,pi2\<bullet>M,pi2\<bullet>b,pi2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
766 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
767 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
768 |
apply(simp add: fresh_fun_simp_ImpR at_prm_fresh[OF at_coname_inst] swap_simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
769 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
770 |
apply(simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
771 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
772 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
773 |
nominal_primrec (freshness_context: "(y::name,c::coname,P::trm)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
774 |
substn :: "trm \<Rightarrow> name \<Rightarrow> coname \<Rightarrow> trm \<Rightarrow> trm" ("_{_:=<_>._}" [100,100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
775 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
776 |
"(Ax x a){y:=<c>.P} = (if x=y then Cut <c>.P (y).Ax y a else Ax x a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
777 |
| "\<lbrakk>a\<sharp>(c,P,N);x\<sharp>(y,P,M)\<rbrakk> \<Longrightarrow> (Cut <a>.M (x).N){y:=<c>.P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
778 |
(if M=Ax y a then Cut <c>.P (x).(N{y:=<c>.P}) else Cut <a>.(M{y:=<c>.P}) (x).(N{y:=<c>.P}))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
779 |
| "x\<sharp>(y,P) \<Longrightarrow> (NotR (x).M a){y:=<c>.P} = NotR (x).(M{y:=<c>.P}) a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
780 |
| "a\<sharp>(c,P) \<Longrightarrow> (NotL <a>.M x){y:=<c>.P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
781 |
(if x=y then fresh_fun (\<lambda>x'. Cut <c>.P (x').NotL <a>.(M{y:=<c>.P}) x') else NotL <a>.(M{y:=<c>.P}) x)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
782 |
| "\<lbrakk>a\<sharp>(c,P,N,d);b\<sharp>(c,P,M,d);b\<noteq>a\<rbrakk> \<Longrightarrow> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
783 |
(AndR <a>.M <b>.N d){y:=<c>.P} = AndR <a>.(M{y:=<c>.P}) <b>.(N{y:=<c>.P}) d" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
784 |
| "x\<sharp>(y,P,z) \<Longrightarrow> (AndL1 (x).M z){y:=<c>.P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
785 |
(if z=y then fresh_fun (\<lambda>z'. Cut <c>.P (z').AndL1 (x).(M{y:=<c>.P}) z') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
786 |
else AndL1 (x).(M{y:=<c>.P}) z)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
787 |
| "x\<sharp>(y,P,z) \<Longrightarrow> (AndL2 (x).M z){y:=<c>.P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
788 |
(if z=y then fresh_fun (\<lambda>z'. Cut <c>.P (z').AndL2 (x).(M{y:=<c>.P}) z') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
789 |
else AndL2 (x).(M{y:=<c>.P}) z)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
790 |
| "a\<sharp>(c,P,b) \<Longrightarrow> (OrR1 <a>.M b){y:=<c>.P} = OrR1 <a>.(M{y:=<c>.P}) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
791 |
| "a\<sharp>(c,P,b) \<Longrightarrow> (OrR2 <a>.M b){y:=<c>.P} = OrR2 <a>.(M{y:=<c>.P}) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
792 |
| "\<lbrakk>x\<sharp>(y,N,P,z);u\<sharp>(y,M,P,z);x\<noteq>u\<rbrakk> \<Longrightarrow> (OrL (x).M (u).N z){y:=<c>.P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
793 |
(if z=y then fresh_fun (\<lambda>z'. Cut <c>.P (z').OrL (x).(M{y:=<c>.P}) (u).(N{y:=<c>.P}) z') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
794 |
else OrL (x).(M{y:=<c>.P}) (u).(N{y:=<c>.P}) z)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
795 |
| "\<lbrakk>a\<sharp>(b,c,P); x\<sharp>(y,P)\<rbrakk> \<Longrightarrow> (ImpR (x).<a>.M b){y:=<c>.P} = ImpR (x).<a>.(M{y:=<c>.P}) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
796 |
| "\<lbrakk>a\<sharp>(N,c,P);x\<sharp>(y,P,M,z)\<rbrakk> \<Longrightarrow> (ImpL <a>.M (x).N z){y:=<c>.P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
797 |
(if y=z then fresh_fun (\<lambda>z'. Cut <c>.P (z').ImpL <a>.(M{y:=<c>.P}) (x).(N{y:=<c>.P}) z') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
798 |
else ImpL <a>.(M{y:=<c>.P}) (x).(N{y:=<c>.P}) z)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
799 |
apply(finite_guess)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
800 |
apply(rule TrueI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
801 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
802 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
803 |
apply(subgoal_tac "\<exists>x::name. x\<sharp>(x1,P,y1)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
804 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
805 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
806 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
807 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
808 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
809 |
apply(subgoal_tac "\<exists>x::name. x\<sharp>(x1,P,y1)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
810 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
811 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
812 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
813 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
814 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
815 |
apply(subgoal_tac "\<exists>x::name. x\<sharp>(x1,P,y1)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
816 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
817 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
818 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
819 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
820 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
821 |
apply(subgoal_tac "\<exists>x::name. x\<sharp>(x1,P,y1,x3,y2)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
822 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
823 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
824 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
825 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
826 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
827 |
apply(subgoal_tac "\<exists>x::name. x\<sharp>(x1,P,y1,x3,y2)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
828 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
829 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
830 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
831 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
832 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
833 |
apply(subgoal_tac "\<exists>x::name. x\<sharp>(x3,P,y1,y2)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
834 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
835 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
836 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
837 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
838 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
839 |
apply(subgoal_tac "\<exists>x::name. x\<sharp>(x3,P,y1,y2)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
840 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
841 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
842 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
843 |
apply(fresh_guess)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
844 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
845 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
846 |
nominal_primrec (freshness_context: "(d::name,z::coname,P::trm)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
847 |
substc :: "trm \<Rightarrow> coname \<Rightarrow> name \<Rightarrow> trm \<Rightarrow> trm" ("_{_:=(_)._}" [100,100,100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
848 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
849 |
"(Ax x a){d:=(z).P} = (if d=a then Cut <a>.(Ax x a) (z).P else Ax x a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
850 |
| "\<lbrakk>a\<sharp>(d,P,N);x\<sharp>(z,P,M)\<rbrakk> \<Longrightarrow> (Cut <a>.M (x).N){d:=(z).P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
851 |
(if N=Ax x d then Cut <a>.(M{d:=(z).P}) (z).P else Cut <a>.(M{d:=(z).P}) (x).(N{d:=(z).P}))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
852 |
| "x\<sharp>(z,P) \<Longrightarrow> (NotR (x).M a){d:=(z).P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
853 |
(if d=a then fresh_fun (\<lambda>a'. Cut <a'>.NotR (x).(M{d:=(z).P}) a' (z).P) else NotR (x).(M{d:=(z).P}) a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
854 |
| "a\<sharp>(d,P) \<Longrightarrow> (NotL <a>.M x){d:=(z).P} = NotL <a>.(M{d:=(z).P}) x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
855 |
| "\<lbrakk>a\<sharp>(P,c,N,d);b\<sharp>(P,c,M,d);b\<noteq>a\<rbrakk> \<Longrightarrow> (AndR <a>.M <b>.N c){d:=(z).P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
856 |
(if d=c then fresh_fun (\<lambda>a'. Cut <a'>.(AndR <a>.(M{d:=(z).P}) <b>.(N{d:=(z).P}) a') (z).P) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
857 |
else AndR <a>.(M{d:=(z).P}) <b>.(N{d:=(z).P}) c)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
858 |
| "x\<sharp>(y,z,P) \<Longrightarrow> (AndL1 (x).M y){d:=(z).P} = AndL1 (x).(M{d:=(z).P}) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
859 |
| "x\<sharp>(y,P,z) \<Longrightarrow> (AndL2 (x).M y){d:=(z).P} = AndL2 (x).(M{d:=(z).P}) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
860 |
| "a\<sharp>(d,P,b) \<Longrightarrow> (OrR1 <a>.M b){d:=(z).P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
861 |
(if d=b then fresh_fun (\<lambda>a'. Cut <a'>.OrR1 <a>.(M{d:=(z).P}) a' (z).P) else OrR1 <a>.(M{d:=(z).P}) b)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
862 |
| "a\<sharp>(d,P,b) \<Longrightarrow> (OrR2 <a>.M b){d:=(z).P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
863 |
(if d=b then fresh_fun (\<lambda>a'. Cut <a'>.OrR2 <a>.(M{d:=(z).P}) a' (z).P) else OrR2 <a>.(M{d:=(z).P}) b)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
864 |
| "\<lbrakk>x\<sharp>(N,z,P,u);y\<sharp>(M,z,P,u);x\<noteq>y\<rbrakk> \<Longrightarrow> (OrL (x).M (y).N u){d:=(z).P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
865 |
OrL (x).(M{d:=(z).P}) (y).(N{d:=(z).P}) u" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
866 |
| "\<lbrakk>a\<sharp>(b,d,P); x\<sharp>(z,P)\<rbrakk> \<Longrightarrow> (ImpR (x).<a>.M b){d:=(z).P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
867 |
(if d=b then fresh_fun (\<lambda>a'. Cut <a'>.ImpR (x).<a>.(M{d:=(z).P}) a' (z).P) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
868 |
else ImpR (x).<a>.(M{d:=(z).P}) b)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
869 |
| "\<lbrakk>a\<sharp>(N,d,P);x\<sharp>(y,z,P,M)\<rbrakk> \<Longrightarrow> (ImpL <a>.M (x).N y){d:=(z).P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
870 |
ImpL <a>.(M{d:=(z).P}) (x).(N{d:=(z).P}) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
871 |
apply(finite_guess)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
872 |
apply(rule TrueI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
873 |
apply(simp add: abs_fresh abs_supp fs_name1 fs_coname1)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
874 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
875 |
apply(subgoal_tac "\<exists>x::coname. x\<sharp>(x1,P,y1)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
876 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
877 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
878 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
879 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
880 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
881 |
apply(subgoal_tac "\<exists>x::coname. x\<sharp>(x1,P,y1,x3,y2)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
882 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
883 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
884 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
885 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
886 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
887 |
apply(subgoal_tac "\<exists>x::coname. x\<sharp>(x1,P,y1,x3,y2)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
888 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
889 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
890 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
891 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
892 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
893 |
apply(subgoal_tac "\<exists>x::coname. x\<sharp>(x1,P,y1)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
894 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
895 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
896 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
897 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
898 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
899 |
apply(subgoal_tac "\<exists>x::coname. x\<sharp>(x1,P,y1)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
900 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
901 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
902 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
903 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
904 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
905 |
apply(subgoal_tac "\<exists>x::coname. x\<sharp>(x1,P,x2,y1)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
906 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
907 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh fresh_atm abs_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
908 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
909 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
910 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
911 |
apply(subgoal_tac "\<exists>x::coname. x\<sharp>(x1,P,x2,y1)", erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
912 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
913 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
914 |
apply(rule exists_fresh', simp add: fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
915 |
apply(simp add: abs_fresh abs_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
916 |
apply(fresh_guess add: abs_fresh fresh_prod)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
917 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
918 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
919 |
lemma csubst_eqvt[eqvt]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
920 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
921 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
922 |
shows "pi1\<bullet>(M{c:=(x).N}) = (pi1\<bullet>M){(pi1\<bullet>c):=(pi1\<bullet>x).(pi1\<bullet>N)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
923 |
and "pi2\<bullet>(M{c:=(x).N}) = (pi2\<bullet>M){(pi2\<bullet>c):=(pi2\<bullet>x).(pi2\<bullet>N)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
924 |
apply(nominal_induct M avoiding: c x N rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
925 |
apply(auto simp add: eq_bij fresh_bij eqvts) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
926 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
927 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
928 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
929 |
lemma nsubst_eqvt[eqvt]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
930 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
931 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
932 |
shows "pi1\<bullet>(M{x:=<c>.N}) = (pi1\<bullet>M){(pi1\<bullet>x):=<(pi1\<bullet>c)>.(pi1\<bullet>N)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
933 |
and "pi2\<bullet>(M{x:=<c>.N}) = (pi2\<bullet>M){(pi2\<bullet>x):=<(pi2\<bullet>c)>.(pi2\<bullet>N)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
934 |
apply(nominal_induct M avoiding: c x N rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
935 |
apply(auto simp add: eq_bij fresh_bij eqvts) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
936 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
937 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
938 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
939 |
lemma supp_subst1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
940 |
shows "supp (M{y:=<c>.P}) \<subseteq> ((supp M) - {y}) \<union> (supp P)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
941 |
apply(nominal_induct M avoiding: y P c rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
942 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
943 |
apply(auto simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
944 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
945 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
946 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
947 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
948 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
949 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
950 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
951 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
952 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
953 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
954 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
955 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
956 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
957 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
958 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
959 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
960 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
961 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
962 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
963 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
964 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
965 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
966 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
967 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
968 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
969 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
970 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
971 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
972 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
973 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
974 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
975 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
976 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
977 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
978 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
979 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
980 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
981 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
982 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
983 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
984 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
985 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
986 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
987 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
988 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
989 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
990 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
991 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
992 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
993 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
994 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
995 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
996 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
997 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
998 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
999 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1000 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1001 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1002 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1003 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1004 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1005 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1006 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1007 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1008 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},P,name1,trm2{y:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1009 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1010 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1011 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1012 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1013 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1014 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1015 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1016 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},P,name1,trm2{y:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1017 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1018 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1019 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1020 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1021 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1022 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1023 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1024 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},P,name1,trm2{y:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1025 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1026 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1027 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1028 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1029 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1030 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1031 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1032 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},P,name1,trm2{y:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1033 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1034 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1035 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1036 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1037 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1038 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1039 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1040 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1041 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1042 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1043 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1044 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1045 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1046 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1047 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1048 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1049 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1050 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1051 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1052 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1053 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1054 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1055 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1056 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1057 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1058 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1059 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1060 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1061 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1062 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1063 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1064 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1065 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1066 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1067 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1068 |
lemma supp_subst2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1069 |
shows "supp (M{y:=<c>.P}) \<subseteq> supp (M) \<union> ((supp P) - {c})" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1070 |
apply(nominal_induct M avoiding: y P c rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1071 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1072 |
apply(auto simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1073 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1074 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1075 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1076 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1077 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1078 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1079 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1080 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1081 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1082 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1083 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1084 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1085 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1086 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1087 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1088 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1089 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1090 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1091 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1092 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1093 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1094 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1095 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1096 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1097 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1098 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1099 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1100 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1101 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1102 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1103 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1104 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1105 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1106 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1107 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1108 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1109 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1110 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1111 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1112 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1113 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1114 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1115 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1116 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1117 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1118 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1119 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1120 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1121 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1122 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1123 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1124 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1125 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1126 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1127 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1128 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1129 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1130 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},P,name1,trm2{y:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1131 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1132 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1133 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1134 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1135 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1136 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1137 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1138 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},P,name1,trm2{y:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1139 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1140 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1141 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1142 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1143 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1144 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1145 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1146 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1147 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1148 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1149 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1150 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1151 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1152 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1153 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1154 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1155 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1156 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1157 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1158 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1159 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1160 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1161 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1162 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1163 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1164 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1165 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1166 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1167 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1168 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1169 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1170 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1171 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1172 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1173 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1174 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1175 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1176 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1177 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1178 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1179 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1180 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1181 |
lemma supp_subst3: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1182 |
shows "supp (M{c:=(x).P}) \<subseteq> ((supp M) - {c}) \<union> (supp P)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1183 |
apply(nominal_induct M avoiding: x P c rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1184 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1185 |
apply(auto simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1186 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1187 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname:=(x).P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1188 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1189 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1190 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1191 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1192 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1193 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1194 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1195 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname:=(x).P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1196 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1197 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1198 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1199 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1200 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1201 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1202 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1203 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1204 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1205 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1206 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1207 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1208 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1209 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1210 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1211 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1212 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1213 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1214 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1215 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1216 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1217 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1218 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1219 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1220 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1221 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1222 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1223 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1224 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1225 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1226 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1227 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1228 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1229 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1230 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1231 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1232 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1233 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1234 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1235 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1236 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1237 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1238 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1239 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1240 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1241 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1242 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1243 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1244 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1245 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1246 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1247 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1248 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1249 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1250 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1251 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1252 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1253 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1254 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1255 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1256 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1257 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1258 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1259 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1260 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1261 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1262 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1263 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1264 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1265 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1266 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1267 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1268 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1269 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1270 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1271 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1272 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1273 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1274 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1275 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1276 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1277 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1278 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1279 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1280 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1281 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1282 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1283 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1284 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1285 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1286 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1287 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh abs_supp fin_supp fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1288 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1289 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1290 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1291 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1292 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1293 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1294 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1295 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh abs_supp fin_supp fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1296 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1297 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1298 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1299 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1300 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1301 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1302 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh abs_supp fin_supp fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1303 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1304 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1305 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1306 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1307 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1308 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1309 |
lemma supp_subst4: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1310 |
shows "supp (M{c:=(x).P}) \<subseteq> (supp M) \<union> ((supp P) - {x})" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1311 |
apply(nominal_induct M avoiding: x P c rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1312 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1313 |
apply(auto simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1314 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1315 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname:=(x).P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1316 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1317 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1318 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1319 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1320 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1321 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1322 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1323 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname:=(x).P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1324 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1325 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1326 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1327 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1328 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1329 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1330 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname:=(x).P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1331 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1332 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1333 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1334 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1335 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1336 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1337 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1338 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1339 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1340 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1341 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1342 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1343 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1344 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1345 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1346 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1347 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1348 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1349 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1350 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1351 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1352 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1353 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1354 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1355 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1356 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1357 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1358 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1359 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1360 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1361 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1362 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1363 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1364 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1365 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1366 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1367 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1368 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1369 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1370 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1371 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1372 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1373 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1374 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1375 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1376 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1377 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1378 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1379 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1380 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1381 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1382 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1383 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1384 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1385 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1386 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1387 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1388 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1389 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1390 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1391 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1392 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh abs_supp fin_supp fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1393 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1394 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1395 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1396 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1397 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1398 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1399 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1400 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh abs_supp fin_supp fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1401 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1402 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1403 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1404 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1405 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1406 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1407 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh abs_supp fin_supp fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1408 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1409 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1410 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1411 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1412 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1413 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1414 |
lemma supp_subst5: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1415 |
shows "(supp M - {y}) \<subseteq> supp (M{y:=<c>.P})" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1416 |
apply(nominal_induct M avoiding: y P c rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1417 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1418 |
apply(auto simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1419 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1420 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1421 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1422 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1423 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1424 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1425 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1426 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1427 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1428 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1429 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1430 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1431 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1432 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1433 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1434 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1435 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1436 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1437 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1438 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1439 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1440 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1441 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1442 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1443 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1444 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1445 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},P,name1,trm2{y:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1446 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1447 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1448 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1449 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1450 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1451 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1452 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1453 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},P,name1,trm2{y:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1454 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1455 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1456 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1457 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1458 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1459 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1460 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1461 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1462 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1463 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1464 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1465 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1466 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1467 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1468 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1469 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1470 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1471 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1472 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1473 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1474 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1475 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1476 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1477 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1478 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1479 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1480 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1481 |
lemma supp_subst6: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1482 |
shows "(supp M) \<subseteq> ((supp (M{y:=<c>.P}))::coname set)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1483 |
apply(nominal_induct M avoiding: y P c rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1484 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1485 |
apply(auto simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1486 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1487 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1488 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1489 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1490 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1491 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1492 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1493 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1494 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1495 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1496 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1497 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1498 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1499 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1500 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1501 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1502 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1503 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1504 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1505 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1506 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1507 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1508 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1509 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1510 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1511 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1512 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},P,name1,trm2{y:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1513 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1514 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1515 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1516 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1517 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1518 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1519 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1520 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},P,name1,trm2{y:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1521 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1522 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1523 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1524 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1525 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1526 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1527 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1528 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1529 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1530 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1531 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1532 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1533 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1534 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1535 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1536 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1537 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1538 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1539 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1540 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1541 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1542 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1543 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1544 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1545 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1546 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1547 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1548 |
lemma supp_subst7: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1549 |
shows "(supp M - {c}) \<subseteq> supp (M{c:=(x).P})" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1550 |
apply(nominal_induct M avoiding: x P c rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1551 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1552 |
apply(auto simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1553 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1554 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname:=(x).P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1555 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1556 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1557 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1558 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1559 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1560 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1561 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1562 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1563 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1564 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1565 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1566 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1567 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1568 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1569 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1570 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1571 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1572 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1573 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1574 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1575 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1576 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1577 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1578 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1579 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1580 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1581 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1582 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1583 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1584 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1585 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1586 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1587 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1588 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1589 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1590 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1591 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1592 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1593 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1594 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1595 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1596 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1597 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1598 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1599 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1600 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh abs_supp fin_supp fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1601 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1602 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1603 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1604 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1605 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1606 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1607 |
lemma supp_subst8: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1608 |
shows "(supp M) \<subseteq> ((supp (M{c:=(x).P}))::name set)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1609 |
apply(nominal_induct M avoiding: x P c rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1610 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1611 |
apply(auto simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1612 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1613 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname:=(x).P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1614 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1615 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1616 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1617 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1618 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1619 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1620 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1621 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1622 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1623 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1624 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1625 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1626 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1627 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1628 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1629 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1630 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1631 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1632 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1633 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1634 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1635 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1636 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1637 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1638 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1639 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1640 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1641 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1642 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1643 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1644 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1645 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1646 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1647 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1648 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1649 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1650 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1651 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1652 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1653 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1654 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1655 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1656 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1657 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1658 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1659 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh abs_supp fin_supp fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1660 |
apply(simp add: fresh_def abs_supp trm.supp supp_atm fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1661 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1662 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1663 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1664 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1665 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1666 |
lemmas subst_supp = supp_subst1 supp_subst2 supp_subst3 supp_subst4 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1667 |
supp_subst5 supp_subst6 supp_subst7 supp_subst8 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1668 |
lemma subst_fresh: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1669 |
fixes x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1670 |
and c::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1671 |
shows "x\<sharp>P \<Longrightarrow> x\<sharp>M{x:=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1672 |
and "b\<sharp>P \<Longrightarrow> b\<sharp>M{b:=(y).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1673 |
and "x\<sharp>(M,P) \<Longrightarrow> x\<sharp>M{y:=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1674 |
and "x\<sharp>M \<Longrightarrow> x\<sharp>M{c:=(x).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1675 |
and "x\<sharp>(M,P) \<Longrightarrow> x\<sharp>M{c:=(y).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1676 |
and "b\<sharp>(M,P) \<Longrightarrow> b\<sharp>M{c:=(y).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1677 |
and "b\<sharp>M \<Longrightarrow> b\<sharp>M{y:=<b>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1678 |
and "b\<sharp>(M,P) \<Longrightarrow> b\<sharp>M{y:=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1679 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1680 |
apply(insert subst_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1681 |
apply(simp_all add: fresh_def supp_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1682 |
apply(blast)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1683 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1684 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1685 |
lemma forget: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1686 |
shows "x\<sharp>M \<Longrightarrow> M{x:=<c>.P} = M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1687 |
and "c\<sharp>M \<Longrightarrow> M{c:=(x).P} = M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1688 |
apply(nominal_induct M avoiding: x c P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1689 |
apply(auto simp add: fresh_atm abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1690 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1691 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1692 |
lemma substc_rename1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1693 |
assumes a: "c\<sharp>(M,a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1694 |
shows "M{a:=(x).N} = ([(c,a)]\<bullet>M){c:=(x).N}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1695 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1696 |
proof(nominal_induct M avoiding: c a x N rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1697 |
case (Ax z d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1698 |
then show ?case by (auto simp add: fresh_prod fresh_atm calc_atm trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1699 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1700 |
case NotL |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1701 |
then show ?case by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1702 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1703 |
case (NotR y M d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1704 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1705 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1706 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(N,M{d:=(x).N},([(c,d)]\<bullet>M){c:=(x).N})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1707 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1708 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1709 |
apply(simp add: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1710 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1711 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1712 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1713 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1714 |
case (AndR c1 M c2 M' c3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1715 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1716 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1717 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1718 |
apply(simp add: fresh_prod calc_atm fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1719 |
apply(simp add: fresh_prod calc_atm fresh_atm abs_fresh fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1720 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(N,M{c3:=(x).N}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1721 |
M'{c3:=(x).N},c1,c2,c3,([(c,c3)]\<bullet>M){c:=(x).N},([(c,c3)]\<bullet>M'){c:=(x).N})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1722 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1723 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1724 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1725 |
apply (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1726 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1727 |
apply(simp add: fresh_prod calc_atm fresh_atm abs_fresh fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1728 |
apply(simp add: fresh_prod calc_atm fresh_atm abs_fresh fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1729 |
apply(auto simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1730 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1731 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1732 |
case AndL1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1733 |
then show ?case by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1734 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1735 |
case AndL2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1736 |
then show ?case by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1737 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1738 |
case (OrR1 d M e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1739 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1740 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1741 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(N,M{e:=(x).N},([(c,e)]\<bullet>M){c:=(x).N},d,e)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1742 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1743 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1744 |
apply(simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1745 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1746 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1747 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1748 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1749 |
case (OrR2 d M e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1750 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1751 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1752 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(N,M{e:=(x).N},([(c,e)]\<bullet>M){c:=(x).N},d,e)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1753 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1754 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1755 |
apply(simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1756 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1757 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1758 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1759 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1760 |
case (OrL x1 M x2 M' x3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1761 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1762 |
by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1763 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1764 |
case ImpL |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1765 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1766 |
by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1767 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1768 |
case (ImpR y d M e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1769 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1770 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1771 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(N,M{e:=(x).N},([(c,e)]\<bullet>M){c:=(x).N},d,e)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1772 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1773 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1774 |
apply(simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1775 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1776 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1777 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1778 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1779 |
case (Cut d M y M') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1780 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1781 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1782 |
apply(drule pt_bij1[OF pt_coname_inst, OF at_coname_inst]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1783 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1784 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1785 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1786 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1787 |
lemma substc_rename2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1788 |
assumes a: "y\<sharp>(N,x)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1789 |
shows "M{a:=(x).N} = M{a:=(y).([(y,x)]\<bullet>N)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1790 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1791 |
proof(nominal_induct M avoiding: a x y N rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1792 |
case (Ax z d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1793 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1794 |
by (auto simp add: fresh_prod fresh_atm calc_atm trm.inject alpha perm_swap fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1795 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1796 |
case NotL |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1797 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1798 |
by (auto simp add: fresh_prod fresh_atm calc_atm trm.inject alpha perm_swap fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1799 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1800 |
case (NotR y M d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1801 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1802 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1803 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(N,M{d:=(y).([(y,x)]\<bullet>N)},[(y,x)]\<bullet>N)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1804 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1805 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1806 |
apply(simp add: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1807 |
apply(simp add: trm.inject alpha perm_swap fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1808 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1809 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1810 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1811 |
case (AndR c1 M c2 M' c3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1812 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1813 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1814 |
apply(subgoal_tac |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1815 |
"\<exists>a'::coname. a'\<sharp>(N,M{c3:=(y).([(y,x)]\<bullet>N)},M'{c3:=(y).([(y,x)]\<bullet>N)},[(y,x)]\<bullet>N,c1,c2,c3)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1816 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1817 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1818 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1819 |
apply (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh subst_fresh perm_swap fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1820 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1821 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1822 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1823 |
case AndL1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1824 |
then show ?case by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1825 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1826 |
case AndL2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1827 |
then show ?case by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1828 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1829 |
case (OrR1 d M e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1830 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1831 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1832 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(N,M{e:=(y).([(y,x)]\<bullet>N)},[(y,x)]\<bullet>N,d,e)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1833 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1834 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1835 |
apply(simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1836 |
apply(simp add: trm.inject alpha perm_swap fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1837 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1838 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1839 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1840 |
case (OrR2 d M e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1841 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1842 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1843 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(N,M{e:=(y).([(y,x)]\<bullet>N)},[(y,x)]\<bullet>N,d,e)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1844 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1845 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1846 |
apply(simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1847 |
apply(simp add: trm.inject alpha perm_swap fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1848 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1849 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1850 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1851 |
case (OrL x1 M x2 M' x3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1852 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1853 |
by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1854 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1855 |
case ImpL |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1856 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1857 |
by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1858 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1859 |
case (ImpR y d M e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1860 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1861 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1862 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(N,M{e:=(y).([(y,x)]\<bullet>N)},[(y,x)]\<bullet>N,d,e)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1863 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1864 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1865 |
apply(simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1866 |
apply(simp add: trm.inject alpha perm_swap fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1867 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1868 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1869 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1870 |
case (Cut d M y M') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1871 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1872 |
by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1873 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1874 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1875 |
lemma substn_rename3: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1876 |
assumes a: "y\<sharp>(M,x)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1877 |
shows "M{x:=<a>.N} = ([(y,x)]\<bullet>M){y:=<a>.N}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1878 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1879 |
proof(nominal_induct M avoiding: a x y N rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1880 |
case (Ax z d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1881 |
then show ?case by (auto simp add: fresh_prod fresh_atm calc_atm trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1882 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1883 |
case NotR |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1884 |
then show ?case by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1885 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1886 |
case (NotL d M z) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1887 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1888 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1889 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(N,M{x:=<a>.N},([(y,x)]\<bullet>M){y:=<a>.N})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1890 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1891 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1892 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1893 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1894 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1895 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1896 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1897 |
case (AndR c1 M c2 M' c3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1898 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1899 |
by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1900 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1901 |
case OrR1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1902 |
then show ?case by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1903 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1904 |
case OrR2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1905 |
then show ?case by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1906 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1907 |
case (AndL1 u M v) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1908 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1909 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1910 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(N,M{x:=<a>.N},([(y,x)]\<bullet>M){y:=<a>.N},u,v)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1911 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1912 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1913 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1914 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1915 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1916 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1917 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1918 |
case (AndL2 u M v) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1919 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1920 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1921 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(N,M{x:=<a>.N},([(y,x)]\<bullet>M){y:=<a>.N},u,v)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1922 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1923 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1924 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1925 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1926 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1927 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1928 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1929 |
case (OrL x1 M x2 M' x3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1930 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1931 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1932 |
apply(subgoal_tac |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1933 |
"\<exists>a'::name. a'\<sharp>(N,M{x:=<a>.N},M'{x:=<a>.N},([(y,x)]\<bullet>M){y:=<a>.N},([(y,x)]\<bullet>M'){y:=<a>.N},x1,x2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1934 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1935 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1936 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1937 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1938 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1939 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1940 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1941 |
case ImpR |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1942 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1943 |
by(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_left abs_supp fin_supp fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1944 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1945 |
case (ImpL d M v M' u) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1946 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1947 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1948 |
apply(subgoal_tac |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1949 |
"\<exists>a'::name. a'\<sharp>(N,M{u:=<a>.N},M'{u:=<a>.N},([(y,u)]\<bullet>M){y:=<a>.N},([(y,u)]\<bullet>M'){y:=<a>.N},d,v)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1950 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1951 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1952 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1953 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1954 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1955 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1956 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1957 |
case (Cut d M y M') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1958 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1959 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1960 |
apply(drule pt_bij1[OF pt_name_inst, OF at_name_inst]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1961 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1962 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1963 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1964 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1965 |
lemma substn_rename4: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1966 |
assumes a: "c\<sharp>(N,a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1967 |
shows "M{x:=<a>.N} = M{x:=<c>.([(c,a)]\<bullet>N)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1968 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1969 |
proof(nominal_induct M avoiding: x c a N rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1970 |
case (Ax z d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1971 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1972 |
by (auto simp add: fresh_prod fresh_atm calc_atm trm.inject alpha perm_swap fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1973 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1974 |
case NotR |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1975 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1976 |
by (auto simp add: fresh_prod fresh_atm calc_atm trm.inject alpha perm_swap fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1977 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1978 |
case (NotL d M y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1979 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1980 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1981 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(N,M{x:=<c>.([(c,a)]\<bullet>N)},[(c,a)]\<bullet>N)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1982 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1983 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1984 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1985 |
apply(simp add: trm.inject alpha perm_swap fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1986 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1987 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1988 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1989 |
case (OrL x1 M x2 M' x3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1990 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1991 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1992 |
apply(subgoal_tac |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1993 |
"\<exists>a'::name. a'\<sharp>(N,M{x:=<c>.([(c,a)]\<bullet>N)},M'{x:=<c>.([(c,a)]\<bullet>N)},[(c,a)]\<bullet>N,x1,x2,x3)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1994 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1995 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1996 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1997 |
apply (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh subst_fresh perm_swap fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1998 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
1999 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2000 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2001 |
case OrR1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2002 |
then show ?case by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2003 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2004 |
case OrR2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2005 |
then show ?case by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2006 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2007 |
case (AndL1 u M v) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2008 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2009 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2010 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(N,M{x:=<c>.([(c,a)]\<bullet>N)},[(c,a)]\<bullet>N,u,v)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2011 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2012 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2013 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2014 |
apply(simp add: trm.inject alpha perm_swap fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2015 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2016 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2017 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2018 |
case (AndL2 u M v) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2019 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2020 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2021 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(N,M{x:=<c>.([(c,a)]\<bullet>N)},[(c,a)]\<bullet>N,u,v)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2022 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2023 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2024 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2025 |
apply(simp add: trm.inject alpha perm_swap fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2026 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2027 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2028 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2029 |
case (AndR c1 M c2 M' c3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2030 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2031 |
by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2032 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2033 |
case ImpR |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2034 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2035 |
by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2036 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2037 |
case (ImpL d M y M' u) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2038 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2039 |
apply(auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2040 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(N,M{u:=<c>.([(c,a)]\<bullet>N)},M'{u:=<c>.([(c,a)]\<bullet>N)},[(c,a)]\<bullet>N,y,u)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2041 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2042 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2043 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2044 |
apply(simp add: trm.inject alpha perm_swap fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2045 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2046 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2047 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2048 |
case (Cut d M y M') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2049 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2050 |
by (auto simp add: calc_atm trm.inject alpha fresh_atm abs_fresh fresh_prod fresh_left perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2051 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2052 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2053 |
lemma subst_rename5: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2054 |
assumes a: "c'\<sharp>(c,N)" "x'\<sharp>(x,M)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2055 |
shows "M{x:=<c>.N} = ([(x',x)]\<bullet>M){x':=<c'>.([(c',c)]\<bullet>N)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2056 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2057 |
have "M{x:=<c>.N} = ([(x',x)]\<bullet>M){x':=<c>.N}" using a by (simp add: substn_rename3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2058 |
also have "\<dots> = ([(x',x)]\<bullet>M){x':=<c'>.([(c',c)]\<bullet>N)}" using a by (simp add: substn_rename4) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2059 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2060 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2061 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2062 |
lemma subst_rename6: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2063 |
assumes a: "c'\<sharp>(c,M)" "x'\<sharp>(x,N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2064 |
shows "M{c:=(x).N} = ([(c',c)]\<bullet>M){c':=(x').([(x',x)]\<bullet>N)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2065 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2066 |
have "M{c:=(x).N} = ([(c',c)]\<bullet>M){c':=(x).N}" using a by (simp add: substc_rename1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2067 |
also have "\<dots> = ([(c',c)]\<bullet>M){c':=(x').([(x',x)]\<bullet>N)}" using a by (simp add: substc_rename2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2068 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2069 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2070 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2071 |
lemmas subst_rename = substc_rename1 substc_rename2 substn_rename3 substn_rename4 subst_rename5 subst_rename6 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2072 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2073 |
lemma better_Cut_substn[simp]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2074 |
assumes a: "a\<sharp>[c].P" "x\<sharp>(y,P)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2075 |
shows "(Cut <a>.M (x).N){y:=<c>.P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2076 |
(if M=Ax y a then Cut <c>.P (x).(N{y:=<c>.P}) else Cut <a>.(M{y:=<c>.P}) (x).(N{y:=<c>.P}))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2077 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2078 |
obtain x'::"name" where fs1: "x'\<sharp>(M,N,c,P,x,y)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2079 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,N,c,P,a)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2080 |
have eq1: "(Cut <a>.M (x).N) = (Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2081 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2082 |
have eq2: "(M=Ax y a) = (([(a',a)]\<bullet>M)=Ax y a')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2083 |
apply(auto simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2084 |
apply(drule pt_bij1[OF pt_coname_inst, OF at_coname_inst]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2085 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2086 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2087 |
have "(Cut <a>.M (x).N){y:=<c>.P} = (Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N)){y:=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2088 |
using eq1 by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2089 |
also have "\<dots> = (if ([(a',a)]\<bullet>M)=Ax y a' then Cut <c>.P (x').(([(x',x)]\<bullet>N){y:=<c>.P}) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2090 |
else Cut <a'>.(([(a',a)]\<bullet>M){y:=<c>.P}) (x').(([(x',x)]\<bullet>N){y:=<c>.P}))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2091 |
using fs1 fs2 by (auto simp add: fresh_prod fresh_left calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2092 |
also have "\<dots> =(if M=Ax y a then Cut <c>.P (x).(N{y:=<c>.P}) else Cut <a>.(M{y:=<c>.P}) (x).(N{y:=<c>.P}))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2093 |
using fs1 fs2 a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2094 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2095 |
apply(simp only: eq2[symmetric]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2096 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2097 |
apply(simp_all add: alpha fresh_atm fresh_prod subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2098 |
apply(simp_all add: eqvts perm_fresh_fresh calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2099 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2100 |
apply(rule subst_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2101 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2102 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2103 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2104 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2105 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2106 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2107 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2108 |
lemma better_Cut_substc[simp]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2109 |
assumes a: "a\<sharp>(c,P)" "x\<sharp>[y].P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2110 |
shows "(Cut <a>.M (x).N){c:=(y).P} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2111 |
(if N=Ax x c then Cut <a>.(M{c:=(y).P}) (y).P else Cut <a>.(M{c:=(y).P}) (x).(N{c:=(y).P}))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2112 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2113 |
obtain x'::"name" where fs1: "x'\<sharp>(M,N,c,P,x,y)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2114 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,N,c,P,a)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2115 |
have eq1: "(Cut <a>.M (x).N) = (Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2116 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2117 |
have eq2: "(N=Ax x c) = (([(x',x)]\<bullet>N)=Ax x' c)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2118 |
apply(auto simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2119 |
apply(drule pt_bij1[OF pt_name_inst, OF at_name_inst]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2120 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2121 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2122 |
have "(Cut <a>.M (x).N){c:=(y).P} = (Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N)){c:=(y).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2123 |
using eq1 by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2124 |
also have "\<dots> = (if ([(x',x)]\<bullet>N)=Ax x' c then Cut <a'>.(([(a',a)]\<bullet>M){c:=(y).P}) (y).P |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2125 |
else Cut <a'>.(([(a',a)]\<bullet>M){c:=(y).P}) (x').(([(x',x)]\<bullet>N){c:=(y).P}))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2126 |
using fs1 fs2 by (simp add: fresh_prod fresh_left calc_atm fresh_atm trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2127 |
also have "\<dots> =(if N=Ax x c then Cut <a>.(M{c:=(y).P}) (y).P else Cut <a>.(M{c:=(y).P}) (x).(N{c:=(y).P}))" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2128 |
using fs1 fs2 a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2129 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2130 |
apply(simp only: eq2[symmetric]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2131 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2132 |
apply(simp_all add: alpha fresh_atm fresh_prod subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2133 |
apply(simp_all add: eqvts perm_fresh_fresh calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2134 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2135 |
apply(rule subst_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2136 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2137 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2138 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2139 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2140 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2141 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2142 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2143 |
lemma better_Cut_substn': |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2144 |
assumes a: "a\<sharp>[c].P" "y\<sharp>(N,x)" "M\<noteq>Ax y a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2145 |
shows "(Cut <a>.M (x).N){y:=<c>.P} = Cut <a>.(M{y:=<c>.P}) (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2146 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2147 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2148 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2149 |
apply(subgoal_tac "Cut <a>.M (x).N = Cut <a>.M (ca).([(ca,x)]\<bullet>N)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2150 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2151 |
apply(subgoal_tac"y\<sharp>([(ca,x)]\<bullet>N)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2152 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2153 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2154 |
apply(auto simp add: fresh_left calc_atm fresh_prod fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2155 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2156 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2157 |
apply(simp add: alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2158 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2159 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2160 |
lemma better_NotR_substc: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2161 |
assumes a: "d\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2162 |
shows "(NotR (x).M d){d:=(z).P} = fresh_fun (\<lambda>a'. Cut <a'>.NotR (x).M a' (z).P)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2163 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2164 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2165 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2166 |
apply(subgoal_tac "NotR (x).M d = NotR (c).([(c,x)]\<bullet>M) d") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2167 |
apply(auto simp add: fresh_left calc_atm forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2168 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2169 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2170 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2171 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2172 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2173 |
apply(perm_simp add: trm.inject alpha fresh_prod fresh_atm fresh_left, auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2174 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2175 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2176 |
lemma better_NotL_substn: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2177 |
assumes a: "y\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2178 |
shows "(NotL <a>.M y){y:=<c>.P} = fresh_fun (\<lambda>x'. Cut <c>.P (x').NotL <a>.M x')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2179 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2180 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2181 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2182 |
apply(subgoal_tac "NotL <a>.M y = NotL <ca>.([(ca,a)]\<bullet>M) y") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2183 |
apply(auto simp add: fresh_left calc_atm forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2184 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2185 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2186 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2187 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2188 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2189 |
apply(perm_simp add: trm.inject alpha fresh_prod fresh_atm fresh_left, auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2190 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2191 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2192 |
lemma better_AndL1_substn: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2193 |
assumes a: "y\<sharp>[x].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2194 |
shows "(AndL1 (x).M y){y:=<c>.P} = fresh_fun (\<lambda>z'. Cut <c>.P (z').AndL1 (x).M z')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2195 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2196 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2197 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2198 |
apply(subgoal_tac "AndL1 (x).M y = AndL1 (ca).([(ca,x)]\<bullet>M) y") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2199 |
apply(auto simp add: fresh_left calc_atm forget abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2200 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2201 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2202 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2203 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2204 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2205 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2206 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2207 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2208 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2209 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2210 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2211 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2212 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2213 |
apply(perm_simp add: trm.inject alpha fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2214 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2215 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2216 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2217 |
lemma better_AndL2_substn: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2218 |
assumes a: "y\<sharp>[x].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2219 |
shows "(AndL2 (x).M y){y:=<c>.P} = fresh_fun (\<lambda>z'. Cut <c>.P (z').AndL2 (x).M z')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2220 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2221 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2222 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2223 |
apply(subgoal_tac "AndL2 (x).M y = AndL2 (ca).([(ca,x)]\<bullet>M) y") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2224 |
apply(auto simp add: fresh_left calc_atm forget abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2225 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2226 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2227 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2228 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2229 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2230 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2231 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2232 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2233 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2234 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2235 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2236 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2237 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2238 |
apply(perm_simp add: trm.inject alpha fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2239 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2240 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2241 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2242 |
lemma better_AndR_substc: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2243 |
assumes a: "c\<sharp>([a].M,[b].N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2244 |
shows "(AndR <a>.M <b>.N c){c:=(z).P} = fresh_fun (\<lambda>a'. Cut <a'>.(AndR <a>.M <b>.N a') (z).P)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2245 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2246 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2247 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2248 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2249 |
apply(subgoal_tac "AndR <a>.M <b>.N c = AndR <ca>.([(ca,a)]\<bullet>M) <caa>.([(caa,b)]\<bullet>N) c") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2250 |
apply(auto simp add: fresh_left calc_atm forget abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2251 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2252 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2253 |
apply(auto simp add: fresh_left calc_atm fresh_prod fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2254 |
apply(auto simp add: fresh_left calc_atm fresh_prod fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2255 |
apply(auto simp add: fresh_prod fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2256 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2257 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2258 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2259 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2260 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2261 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2262 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2263 |
apply(auto simp add: fresh_left calc_atm abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2264 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2265 |
apply(auto simp add: fresh_left calc_atm abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2266 |
apply(perm_simp add: trm.inject alpha fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2267 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2268 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2269 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2270 |
lemma better_OrL_substn: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2271 |
assumes a: "x\<sharp>([y].M,[z].N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2272 |
shows "(OrL (y).M (z).N x){x:=<c>.P} = fresh_fun (\<lambda>z'. Cut <c>.P (z').OrL (y).M (z).N z')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2273 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2274 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2275 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2276 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2277 |
apply(subgoal_tac "OrL (y).M (z).N x = OrL (ca).([(ca,y)]\<bullet>M) (caa).([(caa,z)]\<bullet>N) x") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2278 |
apply(auto simp add: fresh_left calc_atm forget abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2279 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2280 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2281 |
apply(auto simp add: fresh_left calc_atm fresh_prod fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2282 |
apply(auto simp add: fresh_left calc_atm fresh_prod fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2283 |
apply(auto simp add: fresh_prod fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2284 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2285 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2286 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2287 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2288 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2289 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2290 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2291 |
apply(auto simp add: fresh_left calc_atm abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2292 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2293 |
apply(auto simp add: fresh_left calc_atm abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2294 |
apply(perm_simp add: trm.inject alpha fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2295 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2296 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2297 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2298 |
lemma better_OrR1_substc: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2299 |
assumes a: "d\<sharp>[a].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2300 |
shows "(OrR1 <a>.M d){d:=(z).P} = fresh_fun (\<lambda>a'. Cut <a'>.OrR1 <a>.M a' (z).P)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2301 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2302 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2303 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2304 |
apply(subgoal_tac "OrR1 <a>.M d = OrR1 <c>.([(c,a)]\<bullet>M) d") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2305 |
apply(auto simp add: fresh_left calc_atm forget abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2306 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2307 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2308 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2309 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2310 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2311 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2312 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2313 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2314 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2315 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2316 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2317 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2318 |
apply(perm_simp add: trm.inject alpha fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2319 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2320 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2321 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2322 |
lemma better_OrR2_substc: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2323 |
assumes a: "d\<sharp>[a].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2324 |
shows "(OrR2 <a>.M d){d:=(z).P} = fresh_fun (\<lambda>a'. Cut <a'>.OrR2 <a>.M a' (z).P)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2325 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2326 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2327 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2328 |
apply(subgoal_tac "OrR2 <a>.M d = OrR2 <c>.([(c,a)]\<bullet>M) d") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2329 |
apply(auto simp add: fresh_left calc_atm forget abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2330 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2331 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2332 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2333 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2334 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2335 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2336 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2337 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2338 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2339 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2340 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2341 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2342 |
apply(perm_simp add: trm.inject alpha fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2343 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2344 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2345 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2346 |
lemma better_ImpR_substc: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2347 |
assumes a: "d\<sharp>[a].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2348 |
shows "(ImpR (x).<a>.M d){d:=(z).P} = fresh_fun (\<lambda>a'. Cut <a'>.ImpR (x).<a>.M a' (z).P)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2349 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2350 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2351 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2352 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2353 |
apply(subgoal_tac "ImpR (x).<a>.M d = ImpR (ca).<c>.([(c,a)]\<bullet>[(ca,x)]\<bullet>M) d") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2354 |
apply(auto simp add: fresh_left calc_atm forget abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2355 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2356 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2357 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2358 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm abs_perm abs_fresh fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2359 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2360 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2361 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2362 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2363 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2364 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm abs_perm fresh_left calc_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2365 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2366 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2367 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2368 |
apply(perm_simp add: trm.inject alpha fresh_left calc_atm fresh_prod fresh_atm abs_fresh abs_perm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2369 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2370 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2371 |
lemma better_ImpL_substn: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2372 |
assumes a: "y\<sharp>(M,[x].N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2373 |
shows "(ImpL <a>.M (x).N y){y:=<c>.P} = fresh_fun (\<lambda>z'. Cut <c>.P (z').ImpL <a>.M (x).N z')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2374 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2375 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2376 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2377 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2378 |
apply(subgoal_tac "ImpL <a>.M (x).N y = ImpL <ca>.([(ca,a)]\<bullet>M) (caa).([(caa,x)]\<bullet>N) y") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2379 |
apply(auto simp add: fresh_left calc_atm forget abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2380 |
apply(rule_tac f="fresh_fun" in arg_cong) |
39302
d7728f65b353
renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI
nipkow
parents:
39198
diff
changeset
|
2381 |
apply(simp add: fun_eq_iff) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2382 |
apply(rule allI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2383 |
apply(simp add: trm.inject alpha fresh_prod fresh_atm abs_perm abs_fresh fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2384 |
apply(rule forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2385 |
apply(simp add: fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2386 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2387 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2388 |
apply(perm_simp add: trm.inject alpha fresh_left calc_atm fresh_prod fresh_atm abs_fresh abs_perm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2389 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2390 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2391 |
lemma freshn_after_substc: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2392 |
fixes x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2393 |
assumes a: "x\<sharp>M{c:=(y).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2394 |
shows "x\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2395 |
using a supp_subst8 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2396 |
apply(simp add: fresh_def) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2397 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2398 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2399 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2400 |
lemma freshn_after_substn: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2401 |
fixes x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2402 |
assumes a: "x\<sharp>M{y:=<c>.P}" "x\<noteq>y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2403 |
shows "x\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2404 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2405 |
using a supp_subst5 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2406 |
apply(simp add: fresh_def) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2407 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2408 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2409 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2410 |
lemma freshc_after_substc: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2411 |
fixes a::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2412 |
assumes a: "a\<sharp>M{c:=(y).P}" "a\<noteq>c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2413 |
shows "a\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2414 |
using a supp_subst7 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2415 |
apply(simp add: fresh_def) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2416 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2417 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2418 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2419 |
lemma freshc_after_substn: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2420 |
fixes a::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2421 |
assumes a: "a\<sharp>M{y:=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2422 |
shows "a\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2423 |
using a supp_subst6 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2424 |
apply(simp add: fresh_def) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2425 |
apply(blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2426 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2427 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2428 |
lemma substn_crename_comm: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2429 |
assumes a: "c\<noteq>a" "c\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2430 |
shows "M{x:=<c>.P}[a\<turnstile>c>b] = M[a\<turnstile>c>b]{x:=<c>.(P[a\<turnstile>c>b])}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2431 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2432 |
apply(nominal_induct M avoiding: x c P a b rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2433 |
apply(auto simp add: subst_fresh rename_fresh trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2434 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,x,c)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2435 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2436 |
apply(subgoal_tac "Cut <c>.P (x).Ax x a = Cut <c>.P (x').Ax x' a") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2437 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2438 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2439 |
apply(rule crename.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2440 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2441 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2442 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2443 |
apply(simp add: alpha trm.inject calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2444 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2445 |
apply(simp add: alpha trm.inject calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2446 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2447 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2448 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2449 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2450 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2451 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2452 |
apply(simp add: crename_id) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2453 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2454 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2455 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2456 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2457 |
apply(auto simp add: fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2458 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2459 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2460 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2461 |
apply(auto simp add: fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2462 |
apply(drule crename_ax) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2463 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2464 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2465 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2466 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<c>.P},P,P[a\<turnstile>c>b],x,trm[a\<turnstile>c>b]{x:=<c>.P[a\<turnstile>c>b]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2467 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2468 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2469 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2470 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2471 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2472 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2473 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2474 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2475 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2476 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<c>.P},P,P[a\<turnstile>c>b],name1,trm[a\<turnstile>c>b]{x:=<c>.P[a\<turnstile>c>b]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2477 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2478 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2479 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2480 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2481 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2482 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2483 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2484 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2485 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2486 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<c>.P},P,P[a\<turnstile>c>b],name1,trm[a\<turnstile>c>b]{x:=<c>.P[a\<turnstile>c>b]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2487 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2488 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2489 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2490 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2491 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2492 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2493 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2494 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2495 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2496 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{x:=<c>.P},trm2{x:=<c>.P},P,P[a\<turnstile>c>b],name1,name2, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2497 |
trm1[a\<turnstile>c>b]{x:=<c>.P[a\<turnstile>c>b]},trm2[a\<turnstile>c>b]{x:=<c>.P[a\<turnstile>c>b]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2498 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2499 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2500 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2501 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2502 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2503 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2504 |
apply(simp add: rename_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2505 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2506 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2507 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},trm2{name2:=<c>.P},P,P[a\<turnstile>c>b],name1, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2508 |
trm1[a\<turnstile>c>b]{name2:=<c>.P[a\<turnstile>c>b]},trm2[a\<turnstile>c>b]{name2:=<c>.P[a\<turnstile>c>b]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2509 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2510 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2511 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2512 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2513 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2514 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2515 |
apply(simp add: rename_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2516 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2517 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2518 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2519 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2520 |
lemma substc_crename_comm: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2521 |
assumes a: "c\<noteq>a" "c\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2522 |
shows "M{c:=(x).P}[a\<turnstile>c>b] = M[a\<turnstile>c>b]{c:=(x).(P[a\<turnstile>c>b])}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2523 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2524 |
apply(nominal_induct M avoiding: x c P a b rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2525 |
apply(auto simp add: subst_fresh rename_fresh trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2526 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2527 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2528 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2529 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2530 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2531 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2532 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2533 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2534 |
apply(drule crename_ax) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2535 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2536 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2537 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2538 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(a,b,trm{coname:=(x).P},P,P[a\<turnstile>c>b],x,trm[a\<turnstile>c>b]{coname:=(x).P[a\<turnstile>c>b]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2539 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2540 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2541 |
apply(simp add: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2542 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2543 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2544 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2545 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2546 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2547 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2548 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(coname1,coname2,a,b,trm1{coname3:=(x).P},trm2{coname3:=(x).P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2549 |
P,P[a\<turnstile>c>b],x,trm1[a\<turnstile>c>b]{coname3:=(x).P[a\<turnstile>c>b]},trm2[a\<turnstile>c>b]{coname3:=(x).P[a\<turnstile>c>b]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2550 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2551 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2552 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2553 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2554 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2555 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2556 |
apply(simp add: rename_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2557 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2558 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2559 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(coname1,trm{coname2:=(x).P},P,P[a\<turnstile>c>b],a,b, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2560 |
trm[a\<turnstile>c>b]{coname2:=(x).P[a\<turnstile>c>b]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2561 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2562 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2563 |
apply(simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2564 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2565 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2566 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2567 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2568 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2569 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2570 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(coname1,trm{coname2:=(x).P},P,P[a\<turnstile>c>b],a,b, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2571 |
trm[a\<turnstile>c>b]{coname2:=(x).P[a\<turnstile>c>b]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2572 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2573 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2574 |
apply(simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2575 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2576 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2577 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2578 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2579 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2580 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2581 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(coname1,trm{coname2:=(x).P},P,P[a\<turnstile>c>b],a,b, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2582 |
trm[a\<turnstile>c>b]{coname2:=(x).P[a\<turnstile>c>b]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2583 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2584 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2585 |
apply(simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2586 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2587 |
apply(rule better_crename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2588 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2589 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2590 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2591 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2592 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2593 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2594 |
lemma substn_nrename_comm: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2595 |
assumes a: "x\<noteq>y" "x\<noteq>z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2596 |
shows "M{x:=<c>.P}[y\<turnstile>n>z] = M[y\<turnstile>n>z]{x:=<c>.(P[y\<turnstile>n>z])}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2597 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2598 |
apply(nominal_induct M avoiding: x c P y z rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2599 |
apply(auto simp add: subst_fresh rename_fresh trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2600 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2601 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2602 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2603 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2604 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2605 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2606 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2607 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2608 |
apply(drule nrename_ax) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2609 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2610 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2611 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2612 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(y,z,trm{x:=<c>.P},P,P[y\<turnstile>n>z],x,trm[y\<turnstile>n>z]{x:=<c>.P[y\<turnstile>n>z]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2613 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2614 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2615 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2616 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2617 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2618 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2619 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2620 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2621 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2622 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<c>.P},P,P[y\<turnstile>n>z],name1,trm[y\<turnstile>n>z]{x:=<c>.P[y\<turnstile>n>z]},y,z)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2623 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2624 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2625 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2626 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2627 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2628 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2629 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2630 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2631 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2632 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(y,z,trm{x:=<c>.P},P,P[y\<turnstile>n>z],name1,trm[y\<turnstile>n>z]{x:=<c>.P[y\<turnstile>n>z]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2633 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2634 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2635 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2636 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2637 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2638 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2639 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2640 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2641 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2642 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{x:=<c>.P},trm2{x:=<c>.P},P,P[y\<turnstile>n>z],name1,name2,y,z, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2643 |
trm1[y\<turnstile>n>z]{x:=<c>.P[y\<turnstile>n>z]},trm2[y\<turnstile>n>z]{x:=<c>.P[y\<turnstile>n>z]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2644 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2645 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2646 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2647 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2648 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2649 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2650 |
apply(simp add: rename_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2651 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2652 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2653 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},trm2{name2:=<c>.P},P,P[y\<turnstile>n>z],y,z,name1, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2654 |
trm1[y\<turnstile>n>z]{name2:=<c>.P[y\<turnstile>n>z]},trm2[y\<turnstile>n>z]{name2:=<c>.P[y\<turnstile>n>z]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2655 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2656 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2657 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2658 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2659 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2660 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2661 |
apply(simp add: rename_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2662 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2663 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2664 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2665 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2666 |
lemma substc_nrename_comm: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2667 |
assumes a: "x\<noteq>y" "x\<noteq>z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2668 |
shows "M{c:=(x).P}[y\<turnstile>n>z] = M[y\<turnstile>n>z]{c:=(x).(P[y\<turnstile>n>z])}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2669 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2670 |
apply(nominal_induct M avoiding: x c P y z rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2671 |
apply(auto simp add: subst_fresh rename_fresh trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2672 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2673 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2674 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2675 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2676 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2677 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2678 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2679 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2680 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2681 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2682 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2683 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2684 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2685 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2686 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2687 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2688 |
apply(drule nrename_ax) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2689 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2690 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2691 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2692 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2693 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2694 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2695 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2696 |
apply(drule nrename_ax) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2697 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2698 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2699 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2700 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(y,z,trm{coname:=(x).P},P,P[y\<turnstile>n>z],x,trm[y\<turnstile>n>z]{coname:=(x).P[y\<turnstile>n>z]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2701 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2702 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2703 |
apply(simp add: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2704 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2705 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2706 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2707 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2708 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2709 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2710 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(coname1,coname2,y,z,trm1{coname3:=(x).P},trm2{coname3:=(x).P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2711 |
P,P[y\<turnstile>n>z],x,trm1[y\<turnstile>n>z]{coname3:=(x).P[y\<turnstile>n>z]},trm2[y\<turnstile>n>z]{coname3:=(x).P[y\<turnstile>n>z]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2712 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2713 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2714 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2715 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2716 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2717 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2718 |
apply(simp add: rename_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2719 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2720 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2721 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(coname1,trm{coname2:=(x).P},P,P[y\<turnstile>n>z],y,z, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2722 |
trm[y\<turnstile>n>z]{coname2:=(x).P[y\<turnstile>n>z]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2723 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2724 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2725 |
apply(simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2726 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2727 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2728 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2729 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2730 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2731 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2732 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(coname1,trm{coname2:=(x).P},P,P[y\<turnstile>n>z],y,z, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2733 |
trm[y\<turnstile>n>z]{coname2:=(x).P[y\<turnstile>n>z]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2734 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2735 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2736 |
apply(simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2737 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2738 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2739 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2740 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2741 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2742 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2743 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(coname1,trm{coname2:=(x).P},P,P[y\<turnstile>n>z],y,z, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2744 |
trm[y\<turnstile>n>z]{coname2:=(x).P[y\<turnstile>n>z]})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2745 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2746 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2747 |
apply(simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2748 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2749 |
apply(rule better_nrename_Cut) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2750 |
apply(simp add: fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2751 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2752 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2753 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2754 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2755 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2756 |
lemma substn_crename_comm': |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2757 |
assumes a: "a\<noteq>c" "a\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2758 |
shows "M{x:=<c>.P}[a\<turnstile>c>b] = M[a\<turnstile>c>b]{x:=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2759 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2760 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2761 |
assume a1: "a\<noteq>c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2762 |
assume a2: "a\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2763 |
obtain c'::"coname" where fs2: "c'\<sharp>(c,P,a,b)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2764 |
have eq: "M{x:=<c>.P} = M{x:=<c'>.([(c',c)]\<bullet>P)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2765 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2766 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2767 |
apply(rule subst_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2768 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2769 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2770 |
have eq': "M[a\<turnstile>c>b]{x:=<c>.P} = M[a\<turnstile>c>b]{x:=<c'>.([(c',c)]\<bullet>P)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2771 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2772 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2773 |
apply(rule subst_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2774 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2775 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2776 |
have eq2: "([(c',c)]\<bullet>P)[a\<turnstile>c>b] = ([(c',c)]\<bullet>P)" using fs2 a2 a1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2777 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2778 |
apply(rule rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2779 |
apply(simp add: fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2780 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2781 |
have "M{x:=<c>.P}[a\<turnstile>c>b] = M{x:=<c'>.([(c',c)]\<bullet>P)}[a\<turnstile>c>b]" using eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2782 |
also have "\<dots> = M[a\<turnstile>c>b]{x:=<c'>.(([(c',c)]\<bullet>P)[a\<turnstile>c>b])}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2783 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2784 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2785 |
apply(rule substn_crename_comm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2786 |
apply(simp_all add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2787 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2788 |
also have "\<dots> = M[a\<turnstile>c>b]{x:=<c'>.(([(c',c)]\<bullet>P))}" using eq2 by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2789 |
also have "\<dots> = M[a\<turnstile>c>b]{x:=<c>.P}" using eq' by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2790 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2791 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2792 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2793 |
lemma substc_crename_comm': |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2794 |
assumes a: "c\<noteq>a" "c\<noteq>b" "a\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2795 |
shows "M{c:=(x).P}[a\<turnstile>c>b] = M[a\<turnstile>c>b]{c:=(x).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2796 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2797 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2798 |
assume a1: "c\<noteq>a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2799 |
assume a1': "c\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2800 |
assume a2: "a\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2801 |
obtain c'::"coname" where fs2: "c'\<sharp>(c,M,a,b)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2802 |
have eq: "M{c:=(x).P} = ([(c',c)]\<bullet>M){c':=(x).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2803 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2804 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2805 |
apply(rule subst_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2806 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2807 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2808 |
have eq': "([(c',c)]\<bullet>(M[a\<turnstile>c>b])){c':=(x).P} = M[a\<turnstile>c>b]{c:=(x).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2809 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2810 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2811 |
apply(rule subst_rename[symmetric]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2812 |
apply(simp add: rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2813 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2814 |
have eq2: "([(c',c)]\<bullet>M)[a\<turnstile>c>b] = ([(c',c)]\<bullet>(M[a\<turnstile>c>b]))" using fs2 a2 a1 a1' |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2815 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2816 |
apply(simp add: rename_eqvts) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2817 |
apply(simp add: fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2818 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2819 |
have "M{c:=(x).P}[a\<turnstile>c>b] = ([(c',c)]\<bullet>M){c':=(x).P}[a\<turnstile>c>b]" using eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2820 |
also have "\<dots> = ([(c',c)]\<bullet>M)[a\<turnstile>c>b]{c':=(x).P[a\<turnstile>c>b]}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2821 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2822 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2823 |
apply(rule substc_crename_comm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2824 |
apply(simp_all add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2825 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2826 |
also have "\<dots> = ([(c',c)]\<bullet>(M[a\<turnstile>c>b])){c':=(x).P[a\<turnstile>c>b]}" using eq2 by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2827 |
also have "\<dots> = ([(c',c)]\<bullet>(M[a\<turnstile>c>b])){c':=(x).P}" using a2 by (simp add: rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2828 |
also have "\<dots> = M[a\<turnstile>c>b]{c:=(x).P}" using eq' by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2829 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2830 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2831 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2832 |
lemma substn_nrename_comm': |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2833 |
assumes a: "x\<noteq>y" "x\<noteq>z" "y\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2834 |
shows "M{x:=<c>.P}[y\<turnstile>n>z] = M[y\<turnstile>n>z]{x:=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2835 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2836 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2837 |
assume a1: "x\<noteq>y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2838 |
assume a1': "x\<noteq>z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2839 |
assume a2: "y\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2840 |
obtain x'::"name" where fs2: "x'\<sharp>(x,M,y,z)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2841 |
have eq: "M{x:=<c>.P} = ([(x',x)]\<bullet>M){x':=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2842 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2843 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2844 |
apply(rule subst_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2845 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2846 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2847 |
have eq': "([(x',x)]\<bullet>(M[y\<turnstile>n>z])){x':=<c>.P} = M[y\<turnstile>n>z]{x:=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2848 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2849 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2850 |
apply(rule subst_rename[symmetric]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2851 |
apply(simp add: rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2852 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2853 |
have eq2: "([(x',x)]\<bullet>M)[y\<turnstile>n>z] = ([(x',x)]\<bullet>(M[y\<turnstile>n>z]))" using fs2 a2 a1 a1' |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2854 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2855 |
apply(simp add: rename_eqvts) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2856 |
apply(simp add: fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2857 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2858 |
have "M{x:=<c>.P}[y\<turnstile>n>z] = ([(x',x)]\<bullet>M){x':=<c>.P}[y\<turnstile>n>z]" using eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2859 |
also have "\<dots> = ([(x',x)]\<bullet>M)[y\<turnstile>n>z]{x':=<c>.P[y\<turnstile>n>z]}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2860 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2861 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2862 |
apply(rule substn_nrename_comm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2863 |
apply(simp_all add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2864 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2865 |
also have "\<dots> = ([(x',x)]\<bullet>(M[y\<turnstile>n>z])){x':=<c>.P[y\<turnstile>n>z]}" using eq2 by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2866 |
also have "\<dots> = ([(x',x)]\<bullet>(M[y\<turnstile>n>z])){x':=<c>.P}" using a2 by (simp add: rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2867 |
also have "\<dots> = M[y\<turnstile>n>z]{x:=<c>.P}" using eq' by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2868 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2869 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2870 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2871 |
lemma substc_nrename_comm': |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2872 |
assumes a: "x\<noteq>y" "y\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2873 |
shows "M{c:=(x).P}[y\<turnstile>n>z] = M[y\<turnstile>n>z]{c:=(x).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2874 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2875 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2876 |
assume a1: "x\<noteq>y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2877 |
assume a2: "y\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2878 |
obtain x'::"name" where fs2: "x'\<sharp>(x,P,y,z)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2879 |
have eq: "M{c:=(x).P} = M{c:=(x').([(x',x)]\<bullet>P)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2880 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2881 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2882 |
apply(rule subst_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2883 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2884 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2885 |
have eq': "M[y\<turnstile>n>z]{c:=(x).P} = M[y\<turnstile>n>z]{c:=(x').([(x',x)]\<bullet>P)}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2886 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2887 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2888 |
apply(rule subst_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2889 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2890 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2891 |
have eq2: "([(x',x)]\<bullet>P)[y\<turnstile>n>z] = ([(x',x)]\<bullet>P)" using fs2 a2 a1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2892 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2893 |
apply(rule rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2894 |
apply(simp add: fresh_left calc_atm fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2895 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2896 |
have "M{c:=(x).P}[y\<turnstile>n>z] = M{c:=(x').([(x',x)]\<bullet>P)}[y\<turnstile>n>z]" using eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2897 |
also have "\<dots> = M[y\<turnstile>n>z]{c:=(x').(([(x',x)]\<bullet>P)[y\<turnstile>n>z])}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2898 |
using fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2899 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2900 |
apply(rule substc_nrename_comm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2901 |
apply(simp_all add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2902 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2903 |
also have "\<dots> = M[y\<turnstile>n>z]{c:=(x').(([(x',x)]\<bullet>P))}" using eq2 by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2904 |
also have "\<dots> = M[y\<turnstile>n>z]{c:=(x).P}" using eq' by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2905 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2906 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2907 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2908 |
lemmas subst_comm = substn_crename_comm substc_crename_comm |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2909 |
substn_nrename_comm substc_nrename_comm |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2910 |
lemmas subst_comm' = substn_crename_comm' substc_crename_comm' |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2911 |
substn_nrename_comm' substc_nrename_comm' |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2912 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2913 |
text {* typing contexts *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2914 |
|
41798 | 2915 |
type_synonym ctxtn = "(name\<times>ty) list" |
2916 |
type_synonym ctxtc = "(coname\<times>ty) list" |
|
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2917 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2918 |
inductive |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2919 |
validc :: "ctxtc \<Rightarrow> bool" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2920 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2921 |
vc1[intro]: "validc []" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2922 |
| vc2[intro]: "\<lbrakk>a\<sharp>\<Delta>; validc \<Delta>\<rbrakk> \<Longrightarrow> validc ((a,T)#\<Delta>)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2923 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2924 |
equivariance validc |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2925 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2926 |
inductive |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2927 |
validn :: "ctxtn \<Rightarrow> bool" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2928 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2929 |
vn1[intro]: "validn []" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2930 |
| vn2[intro]: "\<lbrakk>x\<sharp>\<Gamma>; validn \<Gamma>\<rbrakk> \<Longrightarrow> validn ((x,T)#\<Gamma>)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2931 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2932 |
equivariance validn |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2933 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2934 |
lemma fresh_ctxt: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2935 |
fixes a::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2936 |
and x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2937 |
and \<Gamma>::"ctxtn" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2938 |
and \<Delta>::"ctxtc" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2939 |
shows "a\<sharp>\<Gamma>" and "x\<sharp>\<Delta>" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2940 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2941 |
show "a\<sharp>\<Gamma>" by (induct \<Gamma>) (auto simp add: fresh_list_nil fresh_list_cons fresh_prod fresh_atm fresh_ty) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2942 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2943 |
show "x\<sharp>\<Delta>" by (induct \<Delta>) (auto simp add: fresh_list_nil fresh_list_cons fresh_prod fresh_atm fresh_ty) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2944 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2945 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2946 |
text {* cut-reductions *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2947 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2948 |
declare abs_perm[eqvt] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2949 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2950 |
inductive |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2951 |
fin :: "trm \<Rightarrow> name \<Rightarrow> bool" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2952 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2953 |
[intro]: "fin (Ax x a) x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2954 |
| [intro]: "x\<sharp>M \<Longrightarrow> fin (NotL <a>.M x) x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2955 |
| [intro]: "y\<sharp>[x].M \<Longrightarrow> fin (AndL1 (x).M y) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2956 |
| [intro]: "y\<sharp>[x].M \<Longrightarrow> fin (AndL2 (x).M y) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2957 |
| [intro]: "\<lbrakk>z\<sharp>[x].M;z\<sharp>[y].N\<rbrakk> \<Longrightarrow> fin (OrL (x).M (y).N z) z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2958 |
| [intro]: "\<lbrakk>y\<sharp>M;y\<sharp>[x].N\<rbrakk> \<Longrightarrow> fin (ImpL <a>.M (x).N y) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2959 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2960 |
equivariance fin |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2961 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2962 |
lemma fin_Ax_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2963 |
assumes a: "fin (Ax x a) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2964 |
shows "x=y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2965 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2966 |
apply(erule_tac fin.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2967 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2968 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2969 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2970 |
lemma fin_NotL_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2971 |
assumes a: "fin (NotL <a>.M x) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2972 |
shows "x=y \<and> x\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2973 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2974 |
apply(erule_tac fin.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2975 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2976 |
apply(subgoal_tac "y\<sharp>[aa].Ma") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2977 |
apply(drule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2978 |
apply(simp_all add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2979 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2980 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2981 |
lemma fin_AndL1_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2982 |
assumes a: "fin (AndL1 (x).M y) z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2983 |
shows "z=y \<and> z\<sharp>[x].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2984 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2985 |
apply(erule_tac fin.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2986 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2987 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2988 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2989 |
lemma fin_AndL2_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2990 |
assumes a: "fin (AndL2 (x).M y) z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2991 |
shows "z=y \<and> z\<sharp>[x].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2992 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2993 |
apply(erule_tac fin.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2994 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2995 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2996 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2997 |
lemma fin_OrL_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2998 |
assumes a: "fin (OrL (x).M (y).N u) z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
2999 |
shows "z=u \<and> z\<sharp>[x].M \<and> z\<sharp>[y].N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3000 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3001 |
apply(erule_tac fin.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3002 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3003 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3004 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3005 |
lemma fin_ImpL_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3006 |
assumes a: "fin (ImpL <a>.M (x).N z) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3007 |
shows "z=y \<and> z\<sharp>M \<and> z\<sharp>[x].N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3008 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3009 |
apply(erule_tac fin.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3010 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3011 |
apply(subgoal_tac "y\<sharp>[aa].Ma") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3012 |
apply(drule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3013 |
apply(simp_all add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3014 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3015 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3016 |
lemma fin_rest_elims: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3017 |
shows "fin (Cut <a>.M (x).N) y \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3018 |
and "fin (NotR (x).M c) y \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3019 |
and "fin (AndR <a>.M <b>.N c) y \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3020 |
and "fin (OrR1 <a>.M b) y \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3021 |
and "fin (OrR2 <a>.M b) y \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3022 |
and "fin (ImpR (x).<a>.M b) y \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3023 |
by (erule fin.cases, simp_all add: trm.inject)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3024 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3025 |
lemmas fin_elims = fin_Ax_elim fin_NotL_elim fin_AndL1_elim fin_AndL2_elim fin_OrL_elim |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3026 |
fin_ImpL_elim fin_rest_elims |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3027 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3028 |
lemma fin_rename: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3029 |
shows "fin M x \<Longrightarrow> fin ([(x',x)]\<bullet>M) x'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3030 |
by (induct rule: fin.induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3031 |
(auto simp add: calc_atm simp add: fresh_left abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3032 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3033 |
lemma not_fin_subst1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3034 |
assumes a: "\<not>(fin M x)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3035 |
shows "\<not>(fin (M{c:=(y).P}) x)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3036 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3037 |
apply(nominal_induct M avoiding: x c y P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3038 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3039 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3040 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3041 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3042 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm{coname:=(y).P},P,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3043 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3044 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3045 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3046 |
apply(simp add: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3047 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3048 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3049 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3050 |
apply(drule fin_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3051 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3052 |
apply(drule freshn_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3053 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3054 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm1{coname3:=(y).P},trm2{coname3:=(y).P},P,coname1,coname2,coname3,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3055 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3056 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3057 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3058 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3059 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3060 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm1{coname3:=(y).P},trm2{coname3:=(y).P},P,coname1,coname2,coname3,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3061 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3062 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3063 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3064 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3065 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3066 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3067 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3068 |
apply(drule fin_AndL1_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3069 |
apply(auto simp add: abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3070 |
apply(drule freshn_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3071 |
apply(subgoal_tac "name2\<sharp>[name1]. trm") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3072 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3073 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3074 |
apply(drule fin_AndL2_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3075 |
apply(auto simp add: abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3076 |
apply(drule freshn_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3077 |
apply(subgoal_tac "name2\<sharp>[name1].trm") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3078 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3079 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3080 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm{coname2:=(y).P},coname1,P,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3081 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3082 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3083 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3084 |
apply(simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3085 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3086 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3087 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3088 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm{coname2:=(y).P},coname1,P,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3089 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3090 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3091 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3092 |
apply(simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3093 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3094 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3095 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3096 |
apply(drule fin_OrL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3097 |
apply(auto simp add: abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3098 |
apply(drule freshn_after_substc)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3099 |
apply(subgoal_tac "name3\<sharp>[name1].trm1 \<and> name3\<sharp>[name2].trm2") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3100 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3101 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3102 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm{coname2:=(y).P},coname1,P,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3103 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3104 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3105 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3106 |
apply(simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3107 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3108 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3109 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3110 |
apply(drule fin_ImpL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3111 |
apply(auto simp add: abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3112 |
apply(drule freshn_after_substc)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3113 |
apply(subgoal_tac "x\<sharp>[name1].trm2") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3114 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3115 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3116 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3117 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3118 |
lemma not_fin_subst2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3119 |
assumes a: "\<not>(fin M x)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3120 |
shows "\<not>(fin (M{y:=<c>.P}) x)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3121 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3122 |
apply(nominal_induct M avoiding: x c y P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3123 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3124 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3125 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3126 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3127 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3128 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(trm{y:=<c>.P},P,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3129 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3130 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3131 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3132 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3133 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3134 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3135 |
apply(drule fin_NotL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3136 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3137 |
apply(drule freshn_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3138 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3139 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3140 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3141 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(trm{y:=<c>.P},P,name1,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3142 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3143 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3144 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3145 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3146 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3147 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3148 |
apply(drule fin_AndL1_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3149 |
apply(auto simp add: abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3150 |
apply(drule freshn_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3151 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3152 |
apply(subgoal_tac "name2\<sharp>[name1]. trm") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3153 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3154 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3155 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(trm{y:=<c>.P},P,name1,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3156 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3157 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3158 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3159 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3160 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3161 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3162 |
apply(drule fin_AndL2_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3163 |
apply(auto simp add: abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3164 |
apply(drule freshn_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3165 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3166 |
apply(subgoal_tac "name2\<sharp>[name1].trm") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3167 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3168 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3169 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3170 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3171 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(trm1{y:=<c>.P},trm2{y:=<c>.P},name1,name2,P,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3172 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3173 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3174 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3175 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3176 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3177 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3178 |
apply(drule fin_OrL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3179 |
apply(auto simp add: abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3180 |
apply(drule freshn_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3181 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3182 |
apply(drule freshn_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3183 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3184 |
apply(subgoal_tac "name3\<sharp>[name1].trm1 \<and> name3\<sharp>[name2].trm2") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3185 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3186 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3187 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3188 |
apply(subgoal_tac "\<exists>a'::name. a'\<sharp>(trm1{name2:=<c>.P},trm2{name2:=<c>.P},name1,P,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3189 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3190 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3191 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3192 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3193 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3194 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3195 |
apply(drule fin_ImpL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3196 |
apply(auto simp add: abs_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3197 |
apply(drule freshn_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3198 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3199 |
apply(drule freshn_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3200 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3201 |
apply(subgoal_tac "x\<sharp>[name1].trm2") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3202 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3203 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3204 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3205 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3206 |
lemma fin_subst1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3207 |
assumes a: "fin M x" "x\<noteq>y" "x\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3208 |
shows "fin (M{y:=<c>.P}) x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3209 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3210 |
apply(nominal_induct M avoiding: x y c P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3211 |
apply(auto dest!: fin_elims simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3212 |
apply(rule fin.intros, simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3213 |
apply(rule fin.intros, simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3214 |
apply(rule fin.intros, simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3215 |
apply(rule fin.intros, simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3216 |
apply(rule fin.intros, simp add: subst_fresh abs_fresh, simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3217 |
apply(rule fin.intros, simp add: subst_fresh abs_fresh, simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3218 |
apply(rule fin.intros, simp add: subst_fresh abs_fresh, simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3219 |
apply(rule fin.intros, simp add: subst_fresh abs_fresh, simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3220 |
apply(rule fin.intros, simp add: subst_fresh abs_fresh, simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3221 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3222 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3223 |
lemma fin_subst2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3224 |
assumes a: "fin M y" "x\<noteq>y" "y\<sharp>P" "M\<noteq>Ax y c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3225 |
shows "fin (M{c:=(x).P}) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3226 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3227 |
apply(nominal_induct M avoiding: x y c P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3228 |
apply(drule fin_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3229 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3230 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3231 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3232 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3233 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3234 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3235 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3236 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3237 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3238 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3239 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3240 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3241 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3242 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3243 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3244 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3245 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3246 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3247 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3248 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3249 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3250 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3251 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3252 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3253 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3254 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3255 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3256 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3257 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3258 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3259 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3260 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3261 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3262 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3263 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3264 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3265 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3266 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3267 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3268 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3269 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3270 |
lemma fin_substn_nrename: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3271 |
assumes a: "fin M x" "x\<noteq>y" "x\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3272 |
shows "M[x\<turnstile>n>y]{y:=<c>.P} = Cut <c>.P (x).(M{y:=<c>.P})" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3273 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3274 |
apply(nominal_induct M avoiding: x y c P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3275 |
apply(drule fin_Ax_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3276 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3277 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3278 |
apply(simp add: alpha calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3279 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3280 |
apply(drule fin_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3281 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3282 |
apply(drule fin_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3283 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3284 |
apply(drule fin_NotL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3285 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3286 |
apply(subgoal_tac "\<exists>z::name. z\<sharp>(trm,y,x,P,trm[x\<turnstile>n>y]{y:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3287 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3288 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3289 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3290 |
apply(simp add: trm.inject alpha fresh_atm calc_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3291 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3292 |
apply(simp add: nsubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3293 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3294 |
apply(simp add: nrename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3295 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3296 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3297 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3298 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3299 |
apply(drule fin_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3300 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3301 |
apply(drule fin_AndL1_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3302 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3303 |
apply(subgoal_tac "\<exists>z::name. z\<sharp>(name2,name1,P,trm[name2\<turnstile>n>y]{y:=<c>.P},y,P,trm)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3304 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3305 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3306 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3307 |
apply(simp add: trm.inject alpha fresh_atm calc_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3308 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3309 |
apply(simp add: nsubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3310 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3311 |
apply(simp add: nrename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3312 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3313 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3314 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3315 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3316 |
apply(drule fin_AndL2_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3317 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3318 |
apply(subgoal_tac "\<exists>z::name. z\<sharp>(name2,name1,P,trm[name2\<turnstile>n>y]{y:=<c>.P},y,P,trm)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3319 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3320 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3321 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3322 |
apply(simp add: trm.inject alpha fresh_atm calc_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3323 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3324 |
apply(simp add: nsubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3325 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3326 |
apply(simp add: nrename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3327 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3328 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3329 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3330 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3331 |
apply(drule fin_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3332 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3333 |
apply(drule fin_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3334 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3335 |
apply(drule fin_OrL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3336 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3337 |
apply(simp add: subst_fresh rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3338 |
apply(subgoal_tac "\<exists>z::name. z\<sharp>(name3,name2,name1,P,trm1[name3\<turnstile>n>y]{y:=<c>.P},trm2[name3\<turnstile>n>y]{y:=<c>.P},y,P,trm1,trm2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3339 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3340 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3341 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3342 |
apply(simp add: trm.inject alpha fresh_atm calc_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3343 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3344 |
apply(simp add: nsubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3345 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3346 |
apply(simp add: nrename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3347 |
apply(simp add: nsubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3348 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3349 |
apply(simp add: nrename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3350 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3351 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3352 |
apply(drule fin_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3353 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3354 |
apply(drule fin_ImpL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3355 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3356 |
apply(simp add: subst_fresh rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3357 |
apply(subgoal_tac "\<exists>z::name. z\<sharp>(name1,x,P,trm1[x\<turnstile>n>y]{y:=<c>.P},trm2[x\<turnstile>n>y]{y:=<c>.P},y,P,trm1,trm2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3358 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3359 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3360 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3361 |
apply(simp add: trm.inject alpha fresh_atm calc_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3362 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3363 |
apply(simp add: nsubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3364 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3365 |
apply(simp add: nrename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3366 |
apply(simp add: nsubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3367 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3368 |
apply(simp add: nrename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3369 |
apply(rule exists_fresh') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3370 |
apply(rule fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3371 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3372 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3373 |
inductive |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3374 |
fic :: "trm \<Rightarrow> coname \<Rightarrow> bool" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3375 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3376 |
[intro]: "fic (Ax x a) a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3377 |
| [intro]: "a\<sharp>M \<Longrightarrow> fic (NotR (x).M a) a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3378 |
| [intro]: "\<lbrakk>c\<sharp>[a].M;c\<sharp>[b].N\<rbrakk> \<Longrightarrow> fic (AndR <a>.M <b>.N c) c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3379 |
| [intro]: "b\<sharp>[a].M \<Longrightarrow> fic (OrR1 <a>.M b) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3380 |
| [intro]: "b\<sharp>[a].M \<Longrightarrow> fic (OrR2 <a>.M b) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3381 |
| [intro]: "\<lbrakk>b\<sharp>[a].M\<rbrakk> \<Longrightarrow> fic (ImpR (x).<a>.M b) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3382 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3383 |
equivariance fic |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3384 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3385 |
lemma fic_Ax_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3386 |
assumes a: "fic (Ax x a) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3387 |
shows "a=b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3388 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3389 |
apply(erule_tac fic.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3390 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3391 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3392 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3393 |
lemma fic_NotR_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3394 |
assumes a: "fic (NotR (x).M a) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3395 |
shows "a=b \<and> b\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3396 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3397 |
apply(erule_tac fic.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3398 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3399 |
apply(subgoal_tac "b\<sharp>[xa].Ma") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3400 |
apply(drule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3401 |
apply(simp_all add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3402 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3403 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3404 |
lemma fic_OrR1_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3405 |
assumes a: "fic (OrR1 <a>.M b) c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3406 |
shows "b=c \<and> c\<sharp>[a].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3407 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3408 |
apply(erule_tac fic.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3409 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3410 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3411 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3412 |
lemma fic_OrR2_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3413 |
assumes a: "fic (OrR2 <a>.M b) c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3414 |
shows "b=c \<and> c\<sharp>[a].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3415 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3416 |
apply(erule_tac fic.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3417 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3418 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3419 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3420 |
lemma fic_AndR_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3421 |
assumes a: "fic (AndR <a>.M <b>.N c) d" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3422 |
shows "c=d \<and> d\<sharp>[a].M \<and> d\<sharp>[b].N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3423 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3424 |
apply(erule_tac fic.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3425 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3426 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3427 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3428 |
lemma fic_ImpR_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3429 |
assumes a: "fic (ImpR (x).<a>.M b) c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3430 |
shows "b=c \<and> b\<sharp>[a].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3431 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3432 |
apply(erule_tac fic.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3433 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3434 |
apply(subgoal_tac "c\<sharp>[xa].[aa].Ma") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3435 |
apply(drule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3436 |
apply(simp_all add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3437 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3438 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3439 |
lemma fic_rest_elims: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3440 |
shows "fic (Cut <a>.M (x).N) d \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3441 |
and "fic (NotL <a>.M x) d \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3442 |
and "fic (OrL (x).M (y).N z) d \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3443 |
and "fic (AndL1 (x).M y) d \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3444 |
and "fic (AndL2 (x).M y) d \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3445 |
and "fic (ImpL <a>.M (x).N y) d \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3446 |
by (erule fic.cases, simp_all add: trm.inject)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3447 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3448 |
lemmas fic_elims = fic_Ax_elim fic_NotR_elim fic_OrR1_elim fic_OrR2_elim fic_AndR_elim |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3449 |
fic_ImpR_elim fic_rest_elims |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3450 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3451 |
lemma fic_rename: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3452 |
shows "fic M a \<Longrightarrow> fic ([(a',a)]\<bullet>M) a'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3453 |
by (induct rule: fic.induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3454 |
(auto simp add: calc_atm simp add: fresh_left abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3455 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3456 |
lemma not_fic_subst1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3457 |
assumes a: "\<not>(fic M a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3458 |
shows "\<not>(fic (M{y:=<c>.P}) a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3459 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3460 |
apply(nominal_induct M avoiding: a c y P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3461 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3462 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3463 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3464 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3465 |
apply(drule fic_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3466 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3467 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3468 |
apply(simp add: fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3469 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,a)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3470 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3471 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3472 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3473 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3474 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3475 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3476 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3477 |
apply(drule fic_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3478 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3479 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3480 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3481 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3482 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3483 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1,a)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3484 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3485 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3486 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3487 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3488 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3489 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3490 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3491 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{y:=<c>.P},P,name1,a)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3492 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3493 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3494 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3495 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3496 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3497 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3498 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3499 |
apply(drule fic_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3500 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3501 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3502 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3503 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3504 |
apply(drule fic_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3505 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3506 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3507 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3508 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3509 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{y:=<c>.P},trm2{y:=<c>.P},P,name1,name2,a)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3510 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3511 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3512 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3513 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3514 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3515 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3516 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3517 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3518 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3519 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3520 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3521 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3522 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},trm2{name2:=<c>.P},P,name1,name2,a)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3523 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3524 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3525 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3526 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3527 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3528 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3529 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3530 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3531 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3532 |
lemma not_fic_subst2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3533 |
assumes a: "\<not>(fic M a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3534 |
shows "\<not>(fic (M{c:=(y).P}) a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3535 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3536 |
apply(nominal_induct M avoiding: a c y P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3537 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3538 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3539 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3540 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3541 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(trm{coname:=(y).P},P,a)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3542 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3543 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3544 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3545 |
apply(simp add: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3546 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3547 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3548 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3549 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3550 |
apply(drule freshc_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3551 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3552 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3553 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3554 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(trm1{coname3:=(y).P},trm2{coname3:=(y).P},P,coname1,coname2,a)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3555 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3556 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3557 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3558 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3559 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3560 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3561 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3562 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3563 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3564 |
apply(drule freshc_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3565 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3566 |
apply(drule freshc_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3567 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3568 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3569 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3570 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3571 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(trm{coname2:=(y).P},P,coname1,a)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3572 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3573 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3574 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3575 |
apply(simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3576 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3577 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3578 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3579 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3580 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3581 |
apply(drule freshc_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3582 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3583 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3584 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(trm{coname2:=(y).P},P,coname1,a)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3585 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3586 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3587 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3588 |
apply(simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3589 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3590 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3591 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3592 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3593 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3594 |
apply(drule freshc_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3595 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3596 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3597 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3598 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(trm{coname2:=(y).P},P,coname1,a)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3599 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3600 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3601 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3602 |
apply(simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3603 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3604 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3605 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3606 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3607 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3608 |
apply(drule freshc_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3609 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3610 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3611 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3612 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3613 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3614 |
lemma fic_subst1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3615 |
assumes a: "fic M a" "a\<noteq>b" "a\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3616 |
shows "fic (M{b:=(x).P}) a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3617 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3618 |
apply(nominal_induct M avoiding: x b a P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3619 |
apply(drule fic_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3620 |
apply(simp add: fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3621 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3622 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3623 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3624 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3625 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3626 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3627 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3628 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3629 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3630 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3631 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3632 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3633 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3634 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3635 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3636 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3637 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3638 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3639 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3640 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3641 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3642 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3643 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3644 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3645 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3646 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3647 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3648 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3649 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3650 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3651 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3652 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3653 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3654 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3655 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3656 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3657 |
lemma fic_subst2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3658 |
assumes a: "fic M a" "c\<noteq>a" "a\<sharp>P" "M\<noteq>Ax x a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3659 |
shows "fic (M{x:=<c>.P}) a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3660 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3661 |
apply(nominal_induct M avoiding: x a c P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3662 |
apply(drule fic_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3663 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3664 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3665 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3666 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3667 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3668 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3669 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3670 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3671 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3672 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3673 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3674 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3675 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3676 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3677 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3678 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3679 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3680 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3681 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3682 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3683 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3684 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3685 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3686 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3687 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3688 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3689 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3690 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3691 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3692 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3693 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3694 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3695 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3696 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3697 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3698 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3699 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3700 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3701 |
lemma fic_substc_crename: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3702 |
assumes a: "fic M a" "a\<noteq>b" "a\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3703 |
shows "M[a\<turnstile>c>b]{b:=(y).P} = Cut <a>.(M{b:=(y).P}) (y).P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3704 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3705 |
apply(nominal_induct M avoiding: a b y P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3706 |
apply(drule fic_Ax_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3707 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3708 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3709 |
apply(simp add: alpha calc_atm fresh_atm trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3710 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3711 |
apply(drule fic_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3712 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3713 |
apply(drule fic_NotR_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3714 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3715 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3716 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3717 |
apply(simp add: trm.inject alpha fresh_atm fresh_prod fresh_atm calc_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3718 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3719 |
apply(simp add: csubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3720 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3721 |
apply(simp add: crename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3722 |
apply(rule subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3723 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3724 |
apply(drule fic_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3725 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3726 |
apply(drule fic_AndR_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3727 |
apply(simp add: abs_fresh fresh_atm subst_fresh rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3728 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3729 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3730 |
apply(simp add: trm.inject alpha fresh_atm calc_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3731 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3732 |
apply(simp add: csubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3733 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3734 |
apply(simp add: csubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3735 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3736 |
apply(simp add: subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3737 |
apply(drule fic_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3738 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3739 |
apply(drule fic_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3740 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3741 |
apply(drule fic_OrR1_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3742 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3743 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3744 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3745 |
apply(simp add: trm.inject alpha fresh_atm calc_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3746 |
apply(simp add: csubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3747 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3748 |
apply(simp add: subst_fresh rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3749 |
apply(drule fic_OrR2_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3750 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3751 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3752 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3753 |
apply(simp add: trm.inject alpha fresh_atm calc_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3754 |
apply(simp add: csubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3755 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3756 |
apply(simp add: subst_fresh rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3757 |
apply(drule fic_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3758 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3759 |
apply(drule fic_ImpR_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3760 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3761 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3762 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3763 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3764 |
apply(simp add: trm.inject alpha fresh_atm calc_atm abs_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3765 |
apply(simp add: csubst_eqvt calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3766 |
apply(simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3767 |
apply(simp add: subst_fresh rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3768 |
apply(drule fic_rest_elims) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3769 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3770 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3771 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3772 |
inductive |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3773 |
l_redu :: "trm \<Rightarrow> trm \<Rightarrow> bool" ("_ \<longrightarrow>\<^isub>l _" [100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3774 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3775 |
LAxR: "\<lbrakk>x\<sharp>M; a\<sharp>b; fic M a\<rbrakk> \<Longrightarrow> Cut <a>.M (x).(Ax x b) \<longrightarrow>\<^isub>l M[a\<turnstile>c>b]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3776 |
| LAxL: "\<lbrakk>a\<sharp>M; x\<sharp>y; fin M x\<rbrakk> \<Longrightarrow> Cut <a>.(Ax y a) (x).M \<longrightarrow>\<^isub>l M[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3777 |
| LNot: "\<lbrakk>y\<sharp>(M,N); x\<sharp>(N,y); a\<sharp>(M,N,b); b\<sharp>M; y\<noteq>x; b\<noteq>a\<rbrakk> \<Longrightarrow> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3778 |
Cut <a>.(NotR (x).M a) (y).(NotL <b>.N y) \<longrightarrow>\<^isub>l Cut <b>.N (x).M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3779 |
| LAnd1: "\<lbrakk>b\<sharp>([a1].M1,[a2].M2,N,a1,a2); y\<sharp>([x].N,M1,M2,x); x\<sharp>(M1,M2); a1\<sharp>(M2,N); a2\<sharp>(M1,N); a1\<noteq>a2\<rbrakk> \<Longrightarrow> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3780 |
Cut <b>.(AndR <a1>.M1 <a2>.M2 b) (y).(AndL1 (x).N y) \<longrightarrow>\<^isub>l Cut <a1>.M1 (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3781 |
| LAnd2: "\<lbrakk>b\<sharp>([a1].M1,[a2].M2,N,a1,a2); y\<sharp>([x].N,M1,M2,x); x\<sharp>(M1,M2); a1\<sharp>(M2,N); a2\<sharp>(M1,N); a1\<noteq>a2\<rbrakk> \<Longrightarrow> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3782 |
Cut <b>.(AndR <a1>.M1 <a2>.M2 b) (y).(AndL2 (x).N y) \<longrightarrow>\<^isub>l Cut <a2>.M2 (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3783 |
| LOr1: "\<lbrakk>b\<sharp>([a].M,N1,N2,a); y\<sharp>([x1].N1,[x2].N2,M,x1,x2); x1\<sharp>(M,N2); x2\<sharp>(M,N1); a\<sharp>(N1,N2); x1\<noteq>x2\<rbrakk> \<Longrightarrow> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3784 |
Cut <b>.(OrR1 <a>.M b) (y).(OrL (x1).N1 (x2).N2 y) \<longrightarrow>\<^isub>l Cut <a>.M (x1).N1" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3785 |
| LOr2: "\<lbrakk>b\<sharp>([a].M,N1,N2,a); y\<sharp>([x1].N1,[x2].N2,M,x1,x2); x1\<sharp>(M,N2); x2\<sharp>(M,N1); a\<sharp>(N1,N2); x1\<noteq>x2\<rbrakk> \<Longrightarrow> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3786 |
Cut <b>.(OrR2 <a>.M b) (y).(OrL (x1).N1 (x2).N2 y) \<longrightarrow>\<^isub>l Cut <a>.M (x2).N2" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3787 |
| LImp: "\<lbrakk>z\<sharp>(N,[y].P,[x].M,y,x); b\<sharp>([a].M,[c].N,P,c,a); x\<sharp>(N,[y].P,y); |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3788 |
c\<sharp>(P,[a].M,b,a); a\<sharp>([c].N,P); y\<sharp>(N,[x].M)\<rbrakk> \<Longrightarrow> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3789 |
Cut <b>.(ImpR (x).<a>.M b) (z).(ImpL <c>.N (y).P z) \<longrightarrow>\<^isub>l Cut <a>.(Cut <c>.N (x).M) (y).P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3790 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3791 |
equivariance l_redu |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3792 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3793 |
lemma l_redu_eqvt': |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3794 |
fixes pi1::"name prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3795 |
and pi2::"coname prm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3796 |
shows "(pi1\<bullet>M) \<longrightarrow>\<^isub>l (pi1\<bullet>M') \<Longrightarrow> M \<longrightarrow>\<^isub>l M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3797 |
and "(pi2\<bullet>M) \<longrightarrow>\<^isub>l (pi2\<bullet>M') \<Longrightarrow> M \<longrightarrow>\<^isub>l M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3798 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3799 |
apply(drule_tac pi="rev pi1" in l_redu.eqvt(1)) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3800 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3801 |
apply(drule_tac pi="rev pi2" in l_redu.eqvt(2)) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3802 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3803 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3804 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3805 |
nominal_inductive l_redu |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3806 |
apply(simp_all add: abs_fresh fresh_atm rename_fresh fresh_prod abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3807 |
apply(force)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3808 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3809 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3810 |
lemma fresh_l_redu: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3811 |
fixes x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3812 |
and a::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3813 |
shows "M \<longrightarrow>\<^isub>l M' \<Longrightarrow> x\<sharp>M \<Longrightarrow> x\<sharp>M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3814 |
and "M \<longrightarrow>\<^isub>l M' \<Longrightarrow> a\<sharp>M \<Longrightarrow> a\<sharp>M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3815 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3816 |
apply(induct rule: l_redu.induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3817 |
apply(auto simp add: abs_fresh rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3818 |
apply(case_tac "xa=x") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3819 |
apply(simp add: rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3820 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3821 |
apply(simp add: fresh_prod abs_fresh abs_supp fin_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3822 |
apply(induct rule: l_redu.induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3823 |
apply(auto simp add: abs_fresh rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3824 |
apply(case_tac "aa=a") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3825 |
apply(simp add: rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3826 |
apply(simp add: rename_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3827 |
apply(simp add: fresh_prod abs_fresh abs_supp fin_supp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3828 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3829 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3830 |
lemma better_LAxR_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3831 |
shows "fic M a \<Longrightarrow> Cut <a>.M (x).(Ax x b) \<longrightarrow>\<^isub>l M[a\<turnstile>c>b]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3832 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3833 |
assume fin: "fic M a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3834 |
obtain x'::"name" where fs1: "x'\<sharp>(M,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3835 |
obtain a'::"coname" where fs2: "a'\<sharp>(a,M,b)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3836 |
have "Cut <a>.M (x).(Ax x b) = Cut <a'>.([(a',a)]\<bullet>M) (x').(Ax x' b)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3837 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3838 |
also have "\<dots> \<longrightarrow>\<^isub>l ([(a',a)]\<bullet>M)[a'\<turnstile>c>b]" using fs1 fs2 fin |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3839 |
by (auto intro: l_redu.intros simp add: fresh_left calc_atm fic_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3840 |
also have "\<dots> = M[a\<turnstile>c>b]" using fs1 fs2 by (simp add: crename_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3841 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3842 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3843 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3844 |
lemma better_LAxL_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3845 |
shows "fin M x \<Longrightarrow> Cut <a>.(Ax y a) (x).M \<longrightarrow>\<^isub>l M[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3846 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3847 |
assume fin: "fin M x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3848 |
obtain x'::"name" where fs1: "x'\<sharp>(y,M,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3849 |
obtain a'::"coname" where fs2: "a'\<sharp>(a,M)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3850 |
have "Cut <a>.(Ax y a) (x).M = Cut <a'>.(Ax y a') (x').([(x',x)]\<bullet>M)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3851 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3852 |
also have "\<dots> \<longrightarrow>\<^isub>l ([(x',x)]\<bullet>M)[x'\<turnstile>n>y]" using fs1 fs2 fin |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3853 |
by (auto intro: l_redu.intros simp add: fresh_left calc_atm fin_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3854 |
also have "\<dots> = M[x\<turnstile>n>y]" using fs1 fs2 by (simp add: nrename_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3855 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3856 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3857 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3858 |
lemma better_LNot_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3859 |
shows "\<lbrakk>y\<sharp>N; a\<sharp>M\<rbrakk> \<Longrightarrow> Cut <a>.(NotR (x).M a) (y).(NotL <b>.N y) \<longrightarrow>\<^isub>l Cut <b>.N (x).M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3860 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3861 |
assume fs: "y\<sharp>N" "a\<sharp>M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3862 |
obtain x'::"name" where f1: "x'\<sharp>(y,N,M,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3863 |
obtain y'::"name" where f2: "y'\<sharp>(y,N,M,x,x')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3864 |
obtain a'::"coname" where f3: "a'\<sharp>(a,M,N,b)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3865 |
obtain b'::"coname" where f4: "b'\<sharp>(a,M,N,b,a')" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3866 |
have "Cut <a>.(NotR (x).M a) (y).(NotL <b>.N y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3867 |
= Cut <a'>.(NotR (x).([(a',a)]\<bullet>M) a') (y').(NotL <b>.([(y',y)]\<bullet>N) y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3868 |
using f1 f2 f3 f4 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3869 |
by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3870 |
also have "\<dots> = Cut <a'>.(NotR (x).M a') (y').(NotL <b>.N y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3871 |
using f1 f2 f3 f4 fs by (perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3872 |
also have "\<dots> = Cut <a'>.(NotR (x').([(x',x)]\<bullet>M) a') (y').(NotL <b'>.([(b',b)]\<bullet>N) y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3873 |
using f1 f2 f3 f4 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3874 |
by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3875 |
also have "\<dots> \<longrightarrow>\<^isub>l Cut <b'>.([(b',b)]\<bullet>N) (x').([(x',x)]\<bullet>M)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3876 |
using f1 f2 f3 f4 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3877 |
by (auto intro: l_redu.intros simp add: fresh_prod fresh_left calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3878 |
also have "\<dots> = Cut <b>.N (x).M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3879 |
using f1 f2 f3 f4 by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3880 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3881 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3882 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3883 |
lemma better_LAnd1_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3884 |
shows "\<lbrakk>a\<sharp>([b1].M1,[b2].M2); y\<sharp>[x].N\<rbrakk> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3885 |
\<Longrightarrow> Cut <a>.(AndR <b1>.M1 <b2>.M2 a) (y).(AndL1 (x).N y) \<longrightarrow>\<^isub>l Cut <b1>.M1 (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3886 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3887 |
assume fs: "a\<sharp>([b1].M1,[b2].M2)" "y\<sharp>[x].N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3888 |
obtain x'::"name" where f1: "x'\<sharp>(y,N,M1,M2,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3889 |
obtain y'::"name" where f2: "y'\<sharp>(y,N,M1,M2,x,x')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3890 |
obtain a'::"coname" where f3: "a'\<sharp>(a,M1,M2,N,b1,b2)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3891 |
obtain b1'::"coname" where f4:"b1'\<sharp>(a,M1,M2,N,b1,b2,a')" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3892 |
obtain b2'::"coname" where f5:"b2'\<sharp>(a,M1,M2,N,b1,b2,a',b1')" by (rule exists_fresh(2),rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3893 |
have "Cut <a>.(AndR <b1>.M1 <b2>.M2 a) (y).(AndL1 (x).N y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3894 |
= Cut <a'>.(AndR <b1>.M1 <b2>.M2 a') (y').(AndL1 (x).N y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3895 |
using f1 f2 f3 f4 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3896 |
apply(rule_tac sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3897 |
apply(perm_simp add: trm.inject alpha calc_atm fresh_prod fresh_left fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3898 |
apply(auto simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3899 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3900 |
also have "\<dots> = Cut <a'>.(AndR <b1'>.([(b1',b1)]\<bullet>M1) <b2'>.([(b2',b2)]\<bullet>M2) a') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3901 |
(y').(AndL1 (x').([(x',x)]\<bullet>N) y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3902 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3903 |
apply(rule_tac sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3904 |
apply(perm_simp add: trm.inject alpha calc_atm fresh_prod fresh_left fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3905 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3906 |
also have "\<dots> \<longrightarrow>\<^isub>l Cut <b1'>.([(b1',b1)]\<bullet>M1) (x').([(x',x)]\<bullet>N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3907 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3908 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3909 |
apply(rule l_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3910 |
apply(auto simp add: abs_fresh fresh_prod fresh_left calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3911 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3912 |
also have "\<dots> = Cut <b1>.M1 (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3913 |
using f1 f2 f3 f4 f5 fs by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3914 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3915 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3916 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3917 |
lemma better_LAnd2_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3918 |
shows "\<lbrakk>a\<sharp>([b1].M1,[b2].M2); y\<sharp>[x].N\<rbrakk> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3919 |
\<Longrightarrow> Cut <a>.(AndR <b1>.M1 <b2>.M2 a) (y).(AndL2 (x).N y) \<longrightarrow>\<^isub>l Cut <b2>.M2 (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3920 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3921 |
assume fs: "a\<sharp>([b1].M1,[b2].M2)" "y\<sharp>[x].N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3922 |
obtain x'::"name" where f1: "x'\<sharp>(y,N,M1,M2,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3923 |
obtain y'::"name" where f2: "y'\<sharp>(y,N,M1,M2,x,x')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3924 |
obtain a'::"coname" where f3: "a'\<sharp>(a,M1,M2,N,b1,b2)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3925 |
obtain b1'::"coname" where f4:"b1'\<sharp>(a,M1,M2,N,b1,b2,a')" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3926 |
obtain b2'::"coname" where f5:"b2'\<sharp>(a,M1,M2,N,b1,b2,a',b1')" by (rule exists_fresh(2),rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3927 |
have "Cut <a>.(AndR <b1>.M1 <b2>.M2 a) (y).(AndL2 (x).N y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3928 |
= Cut <a'>.(AndR <b1>.M1 <b2>.M2 a') (y').(AndL2 (x).N y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3929 |
using f1 f2 f3 f4 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3930 |
apply(rule_tac sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3931 |
apply(perm_simp add: trm.inject alpha calc_atm fresh_prod fresh_left fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3932 |
apply(auto simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3933 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3934 |
also have "\<dots> = Cut <a'>.(AndR <b1'>.([(b1',b1)]\<bullet>M1) <b2'>.([(b2',b2)]\<bullet>M2) a') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3935 |
(y').(AndL2 (x').([(x',x)]\<bullet>N) y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3936 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3937 |
apply(rule_tac sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3938 |
apply(perm_simp add: trm.inject alpha calc_atm fresh_prod fresh_left fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3939 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3940 |
also have "\<dots> \<longrightarrow>\<^isub>l Cut <b2'>.([(b2',b2)]\<bullet>M2) (x').([(x',x)]\<bullet>N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3941 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3942 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3943 |
apply(rule l_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3944 |
apply(auto simp add: abs_fresh fresh_prod fresh_left calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3945 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3946 |
also have "\<dots> = Cut <b2>.M2 (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3947 |
using f1 f2 f3 f4 f5 fs by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3948 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3949 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3950 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3951 |
lemma better_LOr1_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3952 |
shows "\<lbrakk>y\<sharp>([x1].N1,[x2].N2); b\<sharp>[a].M\<rbrakk> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3953 |
\<Longrightarrow> Cut <b>.(OrR1 <a>.M b) (y).(OrL (x1).N1 (x2).N2 y) \<longrightarrow>\<^isub>l Cut <a>.M (x1).N1" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3954 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3955 |
assume fs: "y\<sharp>([x1].N1,[x2].N2)" "b\<sharp>[a].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3956 |
obtain y'::"name" where f1: "y'\<sharp>(y,M,N1,N2,x1,x2)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3957 |
obtain x1'::"name" where f2: "x1'\<sharp>(y,M,N1,N2,x1,x2,y')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3958 |
obtain x2'::"name" where f3: "x2'\<sharp>(y,M,N1,N2,x1,x2,y',x1')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3959 |
obtain a'::"coname" where f4: "a'\<sharp>(a,N1,N2,M,b)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3960 |
obtain b'::"coname" where f5: "b'\<sharp>(a,N1,N2,M,b,a')" by (rule exists_fresh(2),rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3961 |
have "Cut <b>.(OrR1 <a>.M b) (y).(OrL (x1).N1 (x2).N2 y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3962 |
= Cut <b'>.(OrR1 <a>.M b') (y').(OrL (x1).N1 (x2).N2 y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3963 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3964 |
apply(rule_tac sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3965 |
apply(perm_simp add: trm.inject alpha calc_atm fresh_prod fresh_left fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3966 |
apply(auto simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3967 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3968 |
also have "\<dots> = Cut <b'>.(OrR1 <a'>.([(a',a)]\<bullet>M) b') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3969 |
(y').(OrL (x1').([(x1',x1)]\<bullet>N1) (x2').([(x2',x2)]\<bullet>N2) y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3970 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3971 |
apply(rule_tac sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3972 |
apply(perm_simp add: trm.inject alpha calc_atm fresh_prod fresh_left fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3973 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3974 |
also have "\<dots> \<longrightarrow>\<^isub>l Cut <a'>.([(a',a)]\<bullet>M) (x1').([(x1',x1)]\<bullet>N1)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3975 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3976 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3977 |
apply(rule l_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3978 |
apply(auto simp add: abs_fresh fresh_prod fresh_left calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3979 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3980 |
also have "\<dots> = Cut <a>.M (x1).N1" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3981 |
using f1 f2 f3 f4 f5 fs by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3982 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3983 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3984 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3985 |
lemma better_LOr2_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3986 |
shows "\<lbrakk>y\<sharp>([x1].N1,[x2].N2); b\<sharp>[a].M\<rbrakk> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3987 |
\<Longrightarrow> Cut <b>.(OrR2 <a>.M b) (y).(OrL (x1).N1 (x2).N2 y) \<longrightarrow>\<^isub>l Cut <a>.M (x2).N2" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3988 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3989 |
assume fs: "y\<sharp>([x1].N1,[x2].N2)" "b\<sharp>[a].M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3990 |
obtain y'::"name" where f1: "y'\<sharp>(y,M,N1,N2,x1,x2)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3991 |
obtain x1'::"name" where f2: "x1'\<sharp>(y,M,N1,N2,x1,x2,y')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3992 |
obtain x2'::"name" where f3: "x2'\<sharp>(y,M,N1,N2,x1,x2,y',x1')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3993 |
obtain a'::"coname" where f4: "a'\<sharp>(a,N1,N2,M,b)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3994 |
obtain b'::"coname" where f5: "b'\<sharp>(a,N1,N2,M,b,a')" by (rule exists_fresh(2),rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3995 |
have "Cut <b>.(OrR2 <a>.M b) (y).(OrL (x1).N1 (x2).N2 y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3996 |
= Cut <b'>.(OrR2 <a>.M b') (y').(OrL (x1).N1 (x2).N2 y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3997 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3998 |
apply(rule_tac sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
3999 |
apply(perm_simp add: trm.inject alpha calc_atm fresh_prod fresh_left fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4000 |
apply(auto simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4001 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4002 |
also have "\<dots> = Cut <b'>.(OrR2 <a'>.([(a',a)]\<bullet>M) b') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4003 |
(y').(OrL (x1').([(x1',x1)]\<bullet>N1) (x2').([(x2',x2)]\<bullet>N2) y')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4004 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4005 |
apply(rule_tac sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4006 |
apply(perm_simp add: trm.inject alpha calc_atm fresh_prod fresh_left fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4007 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4008 |
also have "\<dots> \<longrightarrow>\<^isub>l Cut <a'>.([(a',a)]\<bullet>M) (x2').([(x2',x2)]\<bullet>N2)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4009 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4010 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4011 |
apply(rule l_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4012 |
apply(auto simp add: abs_fresh fresh_prod fresh_left calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4013 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4014 |
also have "\<dots> = Cut <a>.M (x2).N2" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4015 |
using f1 f2 f3 f4 f5 fs by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4016 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4017 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4018 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4019 |
lemma better_LImp_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4020 |
shows "\<lbrakk>z\<sharp>(N,[y].P); b\<sharp>[a].M; a\<sharp>N\<rbrakk> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4021 |
\<Longrightarrow> Cut <b>.(ImpR (x).<a>.M b) (z).(ImpL <c>.N (y).P z) \<longrightarrow>\<^isub>l Cut <a>.(Cut <c>.N (x).M) (y).P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4022 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4023 |
assume fs: "z\<sharp>(N,[y].P)" "b\<sharp>[a].M" "a\<sharp>N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4024 |
obtain y'::"name" where f1: "y'\<sharp>(y,M,N,P,z,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4025 |
obtain x'::"name" where f2: "x'\<sharp>(y,M,N,P,z,x,y')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4026 |
obtain z'::"name" where f3: "z'\<sharp>(y,M,N,P,z,x,y',x')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4027 |
obtain a'::"coname" where f4: "a'\<sharp>(a,N,P,M,b)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4028 |
obtain b'::"coname" where f5: "b'\<sharp>(a,N,P,M,b,c,a')" by (rule exists_fresh(2),rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4029 |
obtain c'::"coname" where f6: "c'\<sharp>(a,N,P,M,b,c,a',b')" by (rule exists_fresh(2),rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4030 |
have " Cut <b>.(ImpR (x).<a>.M b) (z).(ImpL <c>.N (y).P z) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4031 |
= Cut <b'>.(ImpR (x).<a>.M b') (z').(ImpL <c>.N (y).P z')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4032 |
using f1 f2 f3 f4 f5 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4033 |
apply(rule_tac sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4034 |
apply(perm_simp add: trm.inject alpha calc_atm fresh_prod fresh_left fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4035 |
apply(auto simp add: perm_fresh_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4036 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4037 |
also have "\<dots> = Cut <b'>.(ImpR (x').<a'>.([(a',a)]\<bullet>([(x',x)]\<bullet>M)) b') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4038 |
(z').(ImpL <c'>.([(c',c)]\<bullet>N) (y').([(y',y)]\<bullet>P) z')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4039 |
using f1 f2 f3 f4 f5 f6 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4040 |
apply(rule_tac sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4041 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4042 |
apply(simp add: alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4043 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4044 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4045 |
apply(simp add: alpha fresh_prod fresh_atm abs_perm calc_atm fresh_left abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4046 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4047 |
apply(simp add: alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4048 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4049 |
apply(simp add: alpha fresh_prod fresh_atm abs_perm calc_atm fresh_left abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4050 |
apply(simp add: alpha fresh_prod fresh_atm abs_perm calc_atm fresh_left abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4051 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4052 |
also have "\<dots> \<longrightarrow>\<^isub>l Cut <a'>.(Cut <c'>.([(c',c)]\<bullet>N) (x').([(a',a)]\<bullet>[(x',x)]\<bullet>M)) (y').([(y',y)]\<bullet>P)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4053 |
using f1 f2 f3 f4 f5 f6 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4054 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4055 |
apply(rule l_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4056 |
apply(auto simp add: abs_fresh fresh_prod fresh_left calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4057 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4058 |
also have "\<dots> = Cut <a>.(Cut <c>.N (x).M) (y).P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4059 |
using f1 f2 f3 f4 f5 f6 fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4060 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4061 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4062 |
apply(simp add: alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4063 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4064 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4065 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4066 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4067 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4068 |
apply(perm_simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4069 |
apply(auto simp add: fresh_prod fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4070 |
apply(perm_simp add: alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4071 |
apply(perm_simp add: alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4072 |
apply(perm_simp add: alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4073 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4074 |
apply(perm_simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4075 |
apply(rule_tac pi="[(a',a)]" in pt_bij4[OF pt_coname_inst, OF at_coname_inst]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4076 |
apply(perm_simp add: abs_perm calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4077 |
apply(perm_simp add: alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4078 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4079 |
apply(perm_simp add: alpha fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4080 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4081 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4082 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4083 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4084 |
lemma alpha_coname: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4085 |
fixes M::"trm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4086 |
and a::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4087 |
assumes a: "[a].M = [b].N" "c\<sharp>(a,b,M,N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4088 |
shows "M = [(a,c)]\<bullet>[(b,c)]\<bullet>N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4089 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4090 |
apply(auto simp add: alpha_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4091 |
apply(drule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4092 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4093 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4094 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4095 |
lemma alpha_name: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4096 |
fixes M::"trm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4097 |
and x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4098 |
assumes a: "[x].M = [y].N" "z\<sharp>(x,y,M,N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4099 |
shows "M = [(x,z)]\<bullet>[(y,z)]\<bullet>N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4100 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4101 |
apply(auto simp add: alpha_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4102 |
apply(drule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4103 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4104 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4105 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4106 |
lemma alpha_name_coname: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4107 |
fixes M::"trm" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4108 |
and x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4109 |
and a::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4110 |
assumes a: "[x].[b].M = [y].[c].N" "z\<sharp>(x,y,M,N)" "a\<sharp>(b,c,M,N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4111 |
shows "M = [(x,z)]\<bullet>[(b,a)]\<bullet>[(c,a)]\<bullet>[(y,z)]\<bullet>N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4112 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4113 |
apply(auto simp add: alpha_fresh fresh_prod fresh_atm |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4114 |
abs_supp fin_supp abs_fresh abs_perm fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4115 |
apply(drule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4116 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4117 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4118 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4119 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4120 |
lemma Cut_l_redu_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4121 |
assumes a: "Cut <a>.M (x).N \<longrightarrow>\<^isub>l R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4122 |
shows "(\<exists>b. R = M[a\<turnstile>c>b]) \<or> (\<exists>y. R = N[x\<turnstile>n>y]) \<or> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4123 |
(\<exists>y M' b N'. M = NotR (y).M' a \<and> N = NotL <b>.N' x \<and> R = Cut <b>.N' (y).M' \<and> fic M a \<and> fin N x) \<or> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4124 |
(\<exists>b M1 c M2 y N'. M = AndR <b>.M1 <c>.M2 a \<and> N = AndL1 (y).N' x \<and> R = Cut <b>.M1 (y).N' |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4125 |
\<and> fic M a \<and> fin N x) \<or> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4126 |
(\<exists>b M1 c M2 y N'. M = AndR <b>.M1 <c>.M2 a \<and> N = AndL2 (y).N' x \<and> R = Cut <c>.M2 (y).N' |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4127 |
\<and> fic M a \<and> fin N x) \<or> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4128 |
(\<exists>b N' z M1 y M2. M = OrR1 <b>.N' a \<and> N = OrL (z).M1 (y).M2 x \<and> R = Cut <b>.N' (z).M1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4129 |
\<and> fic M a \<and> fin N x) \<or> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4130 |
(\<exists>b N' z M1 y M2. M = OrR2 <b>.N' a \<and> N = OrL (z).M1 (y).M2 x \<and> R = Cut <b>.N' (y).M2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4131 |
\<and> fic M a \<and> fin N x) \<or> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4132 |
(\<exists>z b M' c N1 y N2. M = ImpR (z).<b>.M' a \<and> N = ImpL <c>.N1 (y).N2 x \<and> |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4133 |
R = Cut <b>.(Cut <c>.N1 (z).M') (y).N2 \<and> b\<sharp>(c,N1) \<and> fic M a \<and> fin N x)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4134 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4135 |
apply(erule_tac l_redu.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4136 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4137 |
(* ax case *) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4138 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4139 |
apply(rule_tac x="b" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4140 |
apply(erule conjE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4141 |
apply(simp add: alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4142 |
apply(erule disjE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4143 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4144 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4145 |
apply(simp add: rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4146 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4147 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4148 |
(* ax case *) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4149 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4150 |
apply(rule_tac x="y" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4151 |
apply(erule conjE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4152 |
apply(thin_tac "[a].M = [aa].Ax y aa") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4153 |
apply(simp add: alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4154 |
apply(erule disjE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4155 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4156 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4157 |
apply(simp add: rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4158 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4159 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4160 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4161 |
(* not case *) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4162 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4163 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4164 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4165 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4166 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4167 |
apply(drule_tac c="c" in alpha_coname) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4168 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4169 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4170 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4171 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4172 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4173 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4174 |
apply(simp add: calc_atm abs_fresh fresh_prod fresh_atm fresh_left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4175 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4176 |
apply(drule_tac z="ca" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4177 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4178 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4179 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4180 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4181 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4182 |
apply(auto simp add: calc_atm abs_fresh fresh_left)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4183 |
apply(case_tac "y=x") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4184 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4185 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4186 |
apply(case_tac "aa=a") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4187 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4188 |
apply(perm_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4189 |
(* and1 case *) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4190 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4191 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4192 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4193 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4194 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4195 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4196 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4197 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4198 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4199 |
apply(drule_tac c="c" in alpha_coname) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4200 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4201 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4202 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4203 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4204 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4205 |
apply(rule_tac s="a" and t="[(a,c)]\<bullet>[(b,c)]\<bullet>b" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4206 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4207 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4208 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4209 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4210 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4211 |
apply(drule_tac z="ca" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4212 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4213 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4214 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4215 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4216 |
apply(rule_tac s="x" and t="[(x,ca)]\<bullet>[(y,ca)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4217 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4218 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4219 |
apply(auto simp add: fresh_left calc_atm abs_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4220 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4221 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4222 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4223 |
apply(drule_tac z="cb" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4224 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4225 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4226 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4227 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4228 |
apply(rule_tac s="x" and t="[(x,cb)]\<bullet>[(y,cb)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4229 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4230 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4231 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4232 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4233 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4234 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4235 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4236 |
apply(drule_tac z="cb" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4237 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4238 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4239 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4240 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4241 |
apply(rule_tac s="x" and t="[(x,cb)]\<bullet>[(y,cb)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4242 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4243 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4244 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4245 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4246 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4247 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4248 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4249 |
apply(drule_tac z="cb" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4250 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4251 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4252 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4253 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4254 |
apply(rule_tac s="x" and t="[(x,cb)]\<bullet>[(y,cb)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4255 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4256 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4257 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4258 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4259 |
(* and2 case *) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4260 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4261 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4262 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4263 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4264 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4265 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4266 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4267 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4268 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4269 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4270 |
apply(drule_tac c="c" in alpha_coname) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4271 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4272 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4273 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4274 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4275 |
apply(rule_tac s="a" and t="[(a,c)]\<bullet>[(b,c)]\<bullet>b" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4276 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4277 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4278 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4279 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4280 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4281 |
apply(drule_tac z="ca" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4282 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4283 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4284 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4285 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4286 |
apply(rule_tac s="x" and t="[(x,ca)]\<bullet>[(y,ca)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4287 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4288 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4289 |
apply(auto simp add: fresh_left calc_atm abs_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4290 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4291 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4292 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4293 |
apply(drule_tac z="cb" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4294 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4295 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4296 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4297 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4298 |
apply(rule_tac s="x" and t="[(x,cb)]\<bullet>[(y,cb)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4299 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4300 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4301 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4302 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4303 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4304 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4305 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4306 |
apply(drule_tac z="cb" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4307 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4308 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4309 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4310 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4311 |
apply(rule_tac s="x" and t="[(x,cb)]\<bullet>[(y,cb)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4312 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4313 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4314 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4315 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4316 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4317 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4318 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4319 |
apply(drule_tac z="cb" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4320 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4321 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4322 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4323 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4324 |
apply(rule_tac s="x" and t="[(x,cb)]\<bullet>[(y,cb)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4325 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4326 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4327 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4328 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4329 |
(* or1 case *) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4330 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4331 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4332 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4333 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4334 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4335 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4336 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4337 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4338 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4339 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4340 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4341 |
apply(drule_tac c="c" in alpha_coname) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4342 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4343 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4344 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4345 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4346 |
apply(rule_tac s="a" and t="[(a,c)]\<bullet>[(b,c)]\<bullet>b" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4347 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4348 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4349 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4350 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4351 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4352 |
apply(drule_tac z="ca" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4353 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4354 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4355 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4356 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4357 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4358 |
apply(rule_tac s="x" and t="[(x,ca)]\<bullet>[(y,ca)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4359 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4360 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4361 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4362 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4363 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4364 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4365 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4366 |
apply(drule_tac z="cb" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4367 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4368 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4369 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4370 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4371 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4372 |
apply(rule_tac s="x" and t="[(x,cb)]\<bullet>[(y,cb)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4373 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4374 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4375 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4376 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4377 |
(* or2 case *) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4378 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4379 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4380 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4381 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4382 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4383 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4384 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4385 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4386 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4387 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4388 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4389 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4390 |
apply(drule_tac c="c" in alpha_coname) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4391 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4392 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4393 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4394 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4395 |
apply(rule_tac s="a" and t="[(a,c)]\<bullet>[(b,c)]\<bullet>b" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4396 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4397 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4398 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4399 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4400 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4401 |
apply(drule_tac z="ca" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4402 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4403 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4404 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4405 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4406 |
apply(rule_tac s="x" and t="[(x,ca)]\<bullet>[(y,ca)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4407 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4408 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4409 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4410 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4411 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4412 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4413 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4414 |
apply(drule_tac z="cb" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4415 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4416 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4417 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4418 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4419 |
apply(rule_tac s="x" and t="[(x,cb)]\<bullet>[(y,cb)]\<bullet>y" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4420 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4421 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4422 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4423 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4424 |
(* imp-case *) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4425 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4426 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4427 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4428 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4429 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4430 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4431 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4432 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4433 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4434 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4435 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4436 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4437 |
apply(drule_tac c="ca" in alpha_coname) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4438 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4439 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4440 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4441 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4442 |
apply(rule_tac s="a" and t="[(a,ca)]\<bullet>[(b,ca)]\<bullet>b" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4443 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4444 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4445 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4446 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4447 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4448 |
apply(drule_tac z="cb" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4449 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4450 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4451 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4452 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4453 |
apply(rule_tac s="x" and t="[(x,cb)]\<bullet>[(z,cb)]\<bullet>z" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4454 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4455 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4456 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4457 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4458 |
apply(generate_fresh "name") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4459 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4460 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4461 |
apply(drule_tac z="cc" in alpha_name) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4462 |
apply(simp add: fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4463 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4464 |
apply(rule exI)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4465 |
apply(rule conjI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4466 |
apply(rule_tac s="x" and t="[(x,cc)]\<bullet>[(z,cc)]\<bullet>z" in subst) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4467 |
apply(simp add: calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4468 |
apply(rule refl) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4469 |
apply(auto simp add: fresh_left calc_atm abs_fresh alpha perm_fresh_fresh split: if_splits)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4470 |
apply(perm_simp)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4471 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4472 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4473 |
inductive |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4474 |
c_redu :: "trm \<Rightarrow> trm \<Rightarrow> bool" ("_ \<longrightarrow>\<^isub>c _" [100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4475 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4476 |
left[intro]: "\<lbrakk>\<not>fic M a; a\<sharp>N; x\<sharp>M\<rbrakk> \<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>c M{a:=(x).N}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4477 |
| right[intro]: "\<lbrakk>\<not>fin N x; a\<sharp>N; x\<sharp>M\<rbrakk> \<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>c N{x:=<a>.M}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4478 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4479 |
equivariance c_redu |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4480 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4481 |
nominal_inductive c_redu |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4482 |
by (simp_all add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4483 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4484 |
lemma better_left[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4485 |
shows "\<not>fic M a \<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>c M{a:=(x).N}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4486 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4487 |
assume not_fic: "\<not>fic M a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4488 |
obtain x'::"name" where fs1: "x'\<sharp>(N,M,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4489 |
obtain a'::"coname" where fs2: "a'\<sharp>(a,M,N)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4490 |
have "Cut <a>.M (x).N = Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4491 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4492 |
also have "\<dots> \<longrightarrow>\<^isub>c ([(a',a)]\<bullet>M){a':=(x').([(x',x)]\<bullet>N)}" using fs1 fs2 not_fic |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4493 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4494 |
apply(rule left) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4495 |
apply(clarify) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4496 |
apply(drule_tac a'="a" in fic_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4497 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4498 |
apply(simp add: fresh_left calc_atm)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4499 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4500 |
also have "\<dots> = M{a:=(x).N}" using fs1 fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4501 |
by (simp add: subst_rename[symmetric] fresh_atm fresh_prod fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4502 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4503 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4504 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4505 |
lemma better_right[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4506 |
shows "\<not>fin N x \<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>c N{x:=<a>.M}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4507 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4508 |
assume not_fin: "\<not>fin N x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4509 |
obtain x'::"name" where fs1: "x'\<sharp>(N,M,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4510 |
obtain a'::"coname" where fs2: "a'\<sharp>(a,M,N)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4511 |
have "Cut <a>.M (x).N = Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4512 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4513 |
also have "\<dots> \<longrightarrow>\<^isub>c ([(x',x)]\<bullet>N){x':=<a'>.([(a',a)]\<bullet>M)}" using fs1 fs2 not_fin |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4514 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4515 |
apply(rule right) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4516 |
apply(clarify) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4517 |
apply(drule_tac x'="x" in fin_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4518 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4519 |
apply(simp add: fresh_left calc_atm)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4520 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4521 |
also have "\<dots> = N{x:=<a>.M}" using fs1 fs2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4522 |
by (simp add: subst_rename[symmetric] fresh_atm fresh_prod fresh_left calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4523 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4524 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4525 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4526 |
lemma fresh_c_redu: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4527 |
fixes x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4528 |
and c::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4529 |
shows "M \<longrightarrow>\<^isub>c M' \<Longrightarrow> x\<sharp>M \<Longrightarrow> x\<sharp>M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4530 |
and "M \<longrightarrow>\<^isub>c M' \<Longrightarrow> c\<sharp>M \<Longrightarrow> c\<sharp>M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4531 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4532 |
apply(induct rule: c_redu.induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4533 |
apply(auto simp add: abs_fresh rename_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4534 |
apply(induct rule: c_redu.induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4535 |
apply(auto simp add: abs_fresh rename_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4536 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4537 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4538 |
inductive |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4539 |
a_redu :: "trm \<Rightarrow> trm \<Rightarrow> bool" ("_ \<longrightarrow>\<^isub>a _" [100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4540 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4541 |
al_redu[intro]: "M\<longrightarrow>\<^isub>l M' \<Longrightarrow> M \<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4542 |
| ac_redu[intro]: "M\<longrightarrow>\<^isub>c M' \<Longrightarrow> M \<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4543 |
| a_Cut_l: "\<lbrakk>a\<sharp>N; x\<sharp>M; M\<longrightarrow>\<^isub>a M'\<rbrakk> \<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>a Cut <a>.M' (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4544 |
| a_Cut_r: "\<lbrakk>a\<sharp>N; x\<sharp>M; N\<longrightarrow>\<^isub>a N'\<rbrakk> \<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>a Cut <a>.M (x).N'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4545 |
| a_NotL[intro]: "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> NotL <a>.M x \<longrightarrow>\<^isub>a NotL <a>.M' x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4546 |
| a_NotR[intro]: "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> NotR (x).M a \<longrightarrow>\<^isub>a NotR (x).M' a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4547 |
| a_AndR_l: "\<lbrakk>a\<sharp>(N,c); b\<sharp>(M,c); b\<noteq>a; M\<longrightarrow>\<^isub>a M'\<rbrakk> \<Longrightarrow> AndR <a>.M <b>.N c \<longrightarrow>\<^isub>a AndR <a>.M' <b>.N c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4548 |
| a_AndR_r: "\<lbrakk>a\<sharp>(N,c); b\<sharp>(M,c); b\<noteq>a; N\<longrightarrow>\<^isub>a N'\<rbrakk> \<Longrightarrow> AndR <a>.M <b>.N c \<longrightarrow>\<^isub>a AndR <a>.M <b>.N' c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4549 |
| a_AndL1: "\<lbrakk>x\<sharp>y; M\<longrightarrow>\<^isub>a M'\<rbrakk> \<Longrightarrow> AndL1 (x).M y \<longrightarrow>\<^isub>a AndL1 (x).M' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4550 |
| a_AndL2: "\<lbrakk>x\<sharp>y; M\<longrightarrow>\<^isub>a M'\<rbrakk> \<Longrightarrow> AndL2 (x).M y \<longrightarrow>\<^isub>a AndL2 (x).M' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4551 |
| a_OrL_l: "\<lbrakk>x\<sharp>(N,z); y\<sharp>(M,z); y\<noteq>x; M\<longrightarrow>\<^isub>a M'\<rbrakk> \<Longrightarrow> OrL (x).M (y).N z \<longrightarrow>\<^isub>a OrL (x).M' (y).N z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4552 |
| a_OrL_r: "\<lbrakk>x\<sharp>(N,z); y\<sharp>(M,z); y\<noteq>x; N\<longrightarrow>\<^isub>a N'\<rbrakk> \<Longrightarrow> OrL (x).M (y).N z \<longrightarrow>\<^isub>a OrL (x).M (y).N' z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4553 |
| a_OrR1: "\<lbrakk>a\<sharp>b; M\<longrightarrow>\<^isub>a M'\<rbrakk> \<Longrightarrow> OrR1 <a>.M b \<longrightarrow>\<^isub>a OrR1 <a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4554 |
| a_OrR2: "\<lbrakk>a\<sharp>b; M\<longrightarrow>\<^isub>a M'\<rbrakk> \<Longrightarrow> OrR2 <a>.M b \<longrightarrow>\<^isub>a OrR2 <a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4555 |
| a_ImpL_l: "\<lbrakk>a\<sharp>N; x\<sharp>(M,y); M\<longrightarrow>\<^isub>a M'\<rbrakk> \<Longrightarrow> ImpL <a>.M (x).N y \<longrightarrow>\<^isub>a ImpL <a>.M' (x).N y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4556 |
| a_ImpL_r: "\<lbrakk>a\<sharp>N; x\<sharp>(M,y); N\<longrightarrow>\<^isub>a N'\<rbrakk> \<Longrightarrow> ImpL <a>.M (x).N y \<longrightarrow>\<^isub>a ImpL <a>.M (x).N' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4557 |
| a_ImpR: "\<lbrakk>a\<sharp>b; M\<longrightarrow>\<^isub>a M'\<rbrakk> \<Longrightarrow> ImpR (x).<a>.M b \<longrightarrow>\<^isub>a ImpR (x).<a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4558 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4559 |
lemma fresh_a_redu: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4560 |
fixes x::"name" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4561 |
and c::"coname" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4562 |
shows "M \<longrightarrow>\<^isub>a M' \<Longrightarrow> x\<sharp>M \<Longrightarrow> x\<sharp>M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4563 |
and "M \<longrightarrow>\<^isub>a M' \<Longrightarrow> c\<sharp>M \<Longrightarrow> c\<sharp>M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4564 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4565 |
apply(induct rule: a_redu.induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4566 |
apply(simp add: fresh_l_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4567 |
apply(simp add: fresh_c_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4568 |
apply(auto simp add: abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4569 |
apply(induct rule: a_redu.induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4570 |
apply(simp add: fresh_l_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4571 |
apply(simp add: fresh_c_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4572 |
apply(auto simp add: abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4573 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4574 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4575 |
equivariance a_redu |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4576 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4577 |
nominal_inductive a_redu |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4578 |
by (simp_all add: abs_fresh fresh_atm fresh_prod abs_supp fin_supp fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4579 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4580 |
lemma better_CutL_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4581 |
shows "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>a Cut <a>.M' (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4582 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4583 |
assume red: "M\<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4584 |
obtain x'::"name" where fs1: "x'\<sharp>(M,N,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4585 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,N,a)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4586 |
have "Cut <a>.M (x).N = Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4587 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4588 |
also have "\<dots> \<longrightarrow>\<^isub>a Cut <a'>.([(a',a)]\<bullet>M') (x').([(x',x)]\<bullet>N)" using fs1 fs2 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4589 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4590 |
also have "\<dots> = Cut <a>.M' (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4591 |
using fs1 fs2 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4592 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4593 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4594 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4595 |
lemma better_CutR_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4596 |
shows "N\<longrightarrow>\<^isub>a N' \<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>a Cut <a>.M (x).N'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4597 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4598 |
assume red: "N\<longrightarrow>\<^isub>a N'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4599 |
obtain x'::"name" where fs1: "x'\<sharp>(M,N,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4600 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,N,a)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4601 |
have "Cut <a>.M (x).N = Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4602 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4603 |
also have "\<dots> \<longrightarrow>\<^isub>a Cut <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N')" using fs1 fs2 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4604 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4605 |
also have "\<dots> = Cut <a>.M (x).N'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4606 |
using fs1 fs2 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4607 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4608 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4609 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4610 |
lemma better_AndRL_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4611 |
shows "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> AndR <a>.M <b>.N c \<longrightarrow>\<^isub>a AndR <a>.M' <b>.N c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4612 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4613 |
assume red: "M\<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4614 |
obtain b'::"coname" where fs1: "b'\<sharp>(M,N,a,b,c)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4615 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,N,a,b,c,b')" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4616 |
have "AndR <a>.M <b>.N c = AndR <a'>.([(a',a)]\<bullet>M) <b'>.([(b',b)]\<bullet>N) c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4617 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4618 |
also have "\<dots> \<longrightarrow>\<^isub>a AndR <a'>.([(a',a)]\<bullet>M') <b'>.([(b',b)]\<bullet>N) c" using fs1 fs2 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4619 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4620 |
also have "\<dots> = AndR <a>.M' <b>.N c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4621 |
using fs1 fs2 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4622 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4623 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4624 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4625 |
lemma better_AndRR_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4626 |
shows "N\<longrightarrow>\<^isub>a N' \<Longrightarrow> AndR <a>.M <b>.N c \<longrightarrow>\<^isub>a AndR <a>.M <b>.N' c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4627 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4628 |
assume red: "N\<longrightarrow>\<^isub>a N'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4629 |
obtain b'::"coname" where fs1: "b'\<sharp>(M,N,a,b,c)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4630 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,N,a,b,c,b')" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4631 |
have "AndR <a>.M <b>.N c = AndR <a'>.([(a',a)]\<bullet>M) <b'>.([(b',b)]\<bullet>N) c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4632 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4633 |
also have "\<dots> \<longrightarrow>\<^isub>a AndR <a'>.([(a',a)]\<bullet>M) <b'>.([(b',b)]\<bullet>N') c" using fs1 fs2 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4634 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4635 |
also have "\<dots> = AndR <a>.M <b>.N' c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4636 |
using fs1 fs2 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4637 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4638 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4639 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4640 |
lemma better_AndL1_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4641 |
shows "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> AndL1 (x).M y \<longrightarrow>\<^isub>a AndL1 (x).M' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4642 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4643 |
assume red: "M\<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4644 |
obtain x'::"name" where fs1: "x'\<sharp>(M,y,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4645 |
have "AndL1 (x).M y = AndL1 (x').([(x',x)]\<bullet>M) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4646 |
using fs1 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4647 |
also have "\<dots> \<longrightarrow>\<^isub>a AndL1 (x').([(x',x)]\<bullet>M') y" using fs1 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4648 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4649 |
also have "\<dots> = AndL1 (x).M' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4650 |
using fs1 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4651 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4652 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4653 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4654 |
lemma better_AndL2_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4655 |
shows "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> AndL2 (x).M y \<longrightarrow>\<^isub>a AndL2 (x).M' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4656 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4657 |
assume red: "M\<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4658 |
obtain x'::"name" where fs1: "x'\<sharp>(M,y,x)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4659 |
have "AndL2 (x).M y = AndL2 (x').([(x',x)]\<bullet>M) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4660 |
using fs1 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4661 |
also have "\<dots> \<longrightarrow>\<^isub>a AndL2 (x').([(x',x)]\<bullet>M') y" using fs1 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4662 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4663 |
also have "\<dots> = AndL2 (x).M' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4664 |
using fs1 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4665 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4666 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4667 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4668 |
lemma better_OrLL_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4669 |
shows "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> OrL (x).M (y).N z \<longrightarrow>\<^isub>a OrL (x).M' (y).N z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4670 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4671 |
assume red: "M\<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4672 |
obtain x'::"name" where fs1: "x'\<sharp>(M,N,x,y,z)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4673 |
obtain y'::"name" where fs2: "y'\<sharp>(M,N,x,y,z,x')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4674 |
have "OrL (x).M (y).N z = OrL (x').([(x',x)]\<bullet>M) (y').([(y',y)]\<bullet>N) z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4675 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4676 |
also have "\<dots> \<longrightarrow>\<^isub>a OrL (x').([(x',x)]\<bullet>M') (y').([(y',y)]\<bullet>N) z" using fs1 fs2 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4677 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4678 |
also have "\<dots> = OrL (x).M' (y).N z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4679 |
using fs1 fs2 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4680 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4681 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4682 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4683 |
lemma better_OrLR_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4684 |
shows "N\<longrightarrow>\<^isub>a N' \<Longrightarrow> OrL (x).M (y).N z \<longrightarrow>\<^isub>a OrL (x).M (y).N' z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4685 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4686 |
assume red: "N\<longrightarrow>\<^isub>a N'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4687 |
obtain x'::"name" where fs1: "x'\<sharp>(M,N,x,y,z)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4688 |
obtain y'::"name" where fs2: "y'\<sharp>(M,N,x,y,z,x')" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4689 |
have "OrL (x).M (y).N z = OrL (x').([(x',x)]\<bullet>M) (y').([(y',y)]\<bullet>N) z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4690 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4691 |
also have "\<dots> \<longrightarrow>\<^isub>a OrL (x').([(x',x)]\<bullet>M) (y').([(y',y)]\<bullet>N') z" using fs1 fs2 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4692 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4693 |
also have "\<dots> = OrL (x).M (y).N' z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4694 |
using fs1 fs2 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4695 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4696 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4697 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4698 |
lemma better_OrR1_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4699 |
shows "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> OrR1 <a>.M b \<longrightarrow>\<^isub>a OrR1 <a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4700 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4701 |
assume red: "M\<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4702 |
obtain a'::"coname" where fs1: "a'\<sharp>(M,b,a)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4703 |
have "OrR1 <a>.M b = OrR1 <a'>.([(a',a)]\<bullet>M) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4704 |
using fs1 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4705 |
also have "\<dots> \<longrightarrow>\<^isub>a OrR1 <a'>.([(a',a)]\<bullet>M') b" using fs1 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4706 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4707 |
also have "\<dots> = OrR1 <a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4708 |
using fs1 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4709 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4710 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4711 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4712 |
lemma better_OrR2_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4713 |
shows "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> OrR2 <a>.M b \<longrightarrow>\<^isub>a OrR2 <a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4714 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4715 |
assume red: "M\<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4716 |
obtain a'::"coname" where fs1: "a'\<sharp>(M,b,a)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4717 |
have "OrR2 <a>.M b = OrR2 <a'>.([(a',a)]\<bullet>M) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4718 |
using fs1 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4719 |
also have "\<dots> \<longrightarrow>\<^isub>a OrR2 <a'>.([(a',a)]\<bullet>M') b" using fs1 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4720 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4721 |
also have "\<dots> = OrR2 <a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4722 |
using fs1 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4723 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4724 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4725 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4726 |
lemma better_ImpLL_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4727 |
shows "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> ImpL <a>.M (x).N y \<longrightarrow>\<^isub>a ImpL <a>.M' (x).N y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4728 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4729 |
assume red: "M\<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4730 |
obtain x'::"name" where fs1: "x'\<sharp>(M,N,x,y)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4731 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,N,a)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4732 |
have "ImpL <a>.M (x).N y = ImpL <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4733 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4734 |
also have "\<dots> \<longrightarrow>\<^isub>a ImpL <a'>.([(a',a)]\<bullet>M') (x').([(x',x)]\<bullet>N) y" using fs1 fs2 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4735 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4736 |
also have "\<dots> = ImpL <a>.M' (x).N y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4737 |
using fs1 fs2 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4738 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4739 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4740 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4741 |
lemma better_ImpLR_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4742 |
shows "N\<longrightarrow>\<^isub>a N' \<Longrightarrow> ImpL <a>.M (x).N y \<longrightarrow>\<^isub>a ImpL <a>.M (x).N' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4743 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4744 |
assume red: "N\<longrightarrow>\<^isub>a N'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4745 |
obtain x'::"name" where fs1: "x'\<sharp>(M,N,x,y)" by (rule exists_fresh(1), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4746 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,N,a)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4747 |
have "ImpL <a>.M (x).N y = ImpL <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4748 |
using fs1 fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4749 |
also have "\<dots> \<longrightarrow>\<^isub>a ImpL <a'>.([(a',a)]\<bullet>M) (x').([(x',x)]\<bullet>N') y" using fs1 fs2 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4750 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4751 |
also have "\<dots> = ImpL <a>.M (x).N' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4752 |
using fs1 fs2 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4753 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4754 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4755 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4756 |
lemma better_ImpR_intro[intro]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4757 |
shows "M\<longrightarrow>\<^isub>a M' \<Longrightarrow> ImpR (x).<a>.M b \<longrightarrow>\<^isub>a ImpR (x).<a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4758 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4759 |
assume red: "M\<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4760 |
obtain a'::"coname" where fs2: "a'\<sharp>(M,a,b)" by (rule exists_fresh(2), rule fin_supp, blast) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4761 |
have "ImpR (x).<a>.M b = ImpR (x).<a'>.([(a',a)]\<bullet>M) b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4762 |
using fs2 by (rule_tac sym, auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4763 |
also have "\<dots> \<longrightarrow>\<^isub>a ImpR (x).<a'>.([(a',a)]\<bullet>M') b" using fs2 red |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4764 |
by (auto intro: a_redu.intros simp add: fresh_left calc_atm a_redu.eqvt fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4765 |
also have "\<dots> = ImpR (x).<a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4766 |
using fs2 red by (auto simp add: trm.inject alpha fresh_atm fresh_prod calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4767 |
finally show ?thesis by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4768 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4769 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4770 |
text {* axioms do not reduce *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4771 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4772 |
lemma ax_do_not_l_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4773 |
shows "Ax x a \<longrightarrow>\<^isub>l M \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4774 |
by (erule_tac l_redu.cases) (simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4775 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4776 |
lemma ax_do_not_c_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4777 |
shows "Ax x a \<longrightarrow>\<^isub>c M \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4778 |
by (erule_tac c_redu.cases) (simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4779 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4780 |
lemma ax_do_not_a_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4781 |
shows "Ax x a \<longrightarrow>\<^isub>a M \<Longrightarrow> False" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4782 |
apply(erule_tac a_redu.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4783 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4784 |
apply(drule ax_do_not_l_reduce) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4785 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4786 |
apply(drule ax_do_not_c_reduce) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4787 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4788 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4789 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4790 |
lemma a_redu_NotL_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4791 |
assumes a: "NotL <a>.M x \<longrightarrow>\<^isub>a R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4792 |
shows "\<exists>M'. R = NotL <a>.M' x \<and> M\<longrightarrow>\<^isub>aM'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4793 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4794 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4795 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4796 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4797 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4798 |
apply(rotate_tac 1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4799 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4800 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4801 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4802 |
apply(auto simp add: alpha a_redu.eqvt) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4803 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4804 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4805 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4806 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4807 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4808 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4809 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4810 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4811 |
lemma a_redu_NotR_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4812 |
assumes a: "NotR (x).M a \<longrightarrow>\<^isub>a R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4813 |
shows "\<exists>M'. R = NotR (x).M' a \<and> M\<longrightarrow>\<^isub>aM'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4814 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4815 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4816 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4817 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4818 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4819 |
apply(rotate_tac 1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4820 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4821 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4822 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4823 |
apply(auto simp add: alpha a_redu.eqvt) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4824 |
apply(rule_tac x="([(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4825 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4826 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4827 |
apply(rule_tac x="([(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4828 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4829 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4830 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4831 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4832 |
lemma a_redu_AndR_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4833 |
assumes a: "AndR <a>.M <b>.N c\<longrightarrow>\<^isub>a R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4834 |
shows "(\<exists>M'. R = AndR <a>.M' <b>.N c \<and> M\<longrightarrow>\<^isub>aM') \<or> (\<exists>N'. R = AndR <a>.M <b>.N' c \<and> N\<longrightarrow>\<^isub>aN')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4835 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4836 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4837 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4838 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4839 |
apply(rotate_tac 6) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4840 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4841 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4842 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4843 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4844 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4845 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4846 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4847 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4848 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4849 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4850 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4851 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4852 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4853 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4854 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4855 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4856 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4857 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4858 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4859 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4860 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4861 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4862 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4863 |
apply(rule_tac x="([(b,ba)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4864 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4865 |
apply(rule_tac x="([(b,baa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4866 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4867 |
apply(rule_tac x="([(b,ba)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4868 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4869 |
apply(rule_tac x="([(b,baa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4870 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4871 |
apply(rule_tac x="([(b,ba)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4872 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4873 |
apply(rule_tac x="([(b,baa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4874 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4875 |
apply(rule_tac x="([(b,ba)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4876 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4877 |
apply(rule_tac x="([(b,baa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4878 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4879 |
apply(rotate_tac 6) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4880 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4881 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4882 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4883 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4884 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4885 |
apply(rule_tac x="([(a,aa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4886 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4887 |
apply(rule_tac x="([(a,aa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4888 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4889 |
apply(rule_tac x="([(a,aa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4890 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4891 |
apply(rule_tac x="([(a,aa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4892 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4893 |
apply(rule_tac x="([(a,aaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4894 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4895 |
apply(rule_tac x="([(a,aaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4896 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4897 |
apply(rule_tac x="([(a,aaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4898 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4899 |
apply(rule_tac x="([(a,aaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4900 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4901 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4902 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4903 |
apply(rule_tac x="([(b,ba)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4904 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4905 |
apply(rule_tac x="([(b,ba)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4906 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4907 |
apply(rule_tac x="([(b,ba)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4908 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4909 |
apply(rule_tac x="([(b,ba)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4910 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4911 |
apply(rule_tac x="([(b,baa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4912 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4913 |
apply(rule_tac x="([(b,baa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4914 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4915 |
apply(rule_tac x="([(b,baa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4916 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4917 |
apply(rule_tac x="([(b,baa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4918 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4919 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4920 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4921 |
lemma a_redu_AndL1_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4922 |
assumes a: "AndL1 (x).M y \<longrightarrow>\<^isub>a R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4923 |
shows "\<exists>M'. R = AndL1 (x).M' y \<and> M\<longrightarrow>\<^isub>aM'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4924 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4925 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4926 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4927 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4928 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4929 |
apply(rotate_tac 2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4930 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4931 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4932 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4933 |
apply(auto simp add: alpha a_redu.eqvt) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4934 |
apply(rule_tac x="([(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4935 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4936 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4937 |
apply(rule_tac x="([(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4938 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4939 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4940 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4941 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4942 |
lemma a_redu_AndL2_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4943 |
assumes a: "AndL2 (x).M y \<longrightarrow>\<^isub>a R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4944 |
shows "\<exists>M'. R = AndL2 (x).M' y \<and> M\<longrightarrow>\<^isub>aM'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4945 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4946 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4947 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4948 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4949 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4950 |
apply(rotate_tac 2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4951 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4952 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4953 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4954 |
apply(auto simp add: alpha a_redu.eqvt) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4955 |
apply(rule_tac x="([(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4956 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4957 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4958 |
apply(rule_tac x="([(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4959 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4960 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4961 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4962 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4963 |
lemma a_redu_OrL_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4964 |
assumes a: "OrL (x).M (y).N z\<longrightarrow>\<^isub>a R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4965 |
shows "(\<exists>M'. R = OrL (x).M' (y).N z \<and> M\<longrightarrow>\<^isub>aM') \<or> (\<exists>N'. R = OrL (x).M (y).N' z \<and> N\<longrightarrow>\<^isub>aN')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4966 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4967 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4968 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4969 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4970 |
apply(rotate_tac 6) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4971 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4972 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4973 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4974 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4975 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4976 |
apply(rule_tac x="([(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4977 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4978 |
apply(rule_tac x="([(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4979 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4980 |
apply(rule_tac x="([(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4981 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4982 |
apply(rule_tac x="([(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4983 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4984 |
apply(rule_tac x="([(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4985 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4986 |
apply(rule_tac x="([(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4987 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4988 |
apply(rule_tac x="([(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4989 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4990 |
apply(rule_tac x="([(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4991 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4992 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4993 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4994 |
apply(rule_tac x="([(y,ya)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4995 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4996 |
apply(rule_tac x="([(y,yaa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4997 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4998 |
apply(rule_tac x="([(y,ya)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
4999 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5000 |
apply(rule_tac x="([(y,yaa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5001 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5002 |
apply(rule_tac x="([(y,ya)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5003 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5004 |
apply(rule_tac x="([(y,yaa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5005 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5006 |
apply(rule_tac x="([(y,ya)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5007 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5008 |
apply(rule_tac x="([(y,yaa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5009 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5010 |
apply(rotate_tac 6) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5011 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5012 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5013 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5014 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5015 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5016 |
apply(rule_tac x="([(x,xa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5017 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5018 |
apply(rule_tac x="([(x,xa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5019 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5020 |
apply(rule_tac x="([(x,xa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5021 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5022 |
apply(rule_tac x="([(x,xa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5023 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5024 |
apply(rule_tac x="([(x,xaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5025 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5026 |
apply(rule_tac x="([(x,xaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5027 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5028 |
apply(rule_tac x="([(x,xaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5029 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5030 |
apply(rule_tac x="([(x,xaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5031 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5032 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5033 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5034 |
apply(rule_tac x="([(y,ya)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5035 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5036 |
apply(rule_tac x="([(y,ya)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5037 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5038 |
apply(rule_tac x="([(y,ya)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5039 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5040 |
apply(rule_tac x="([(y,ya)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5041 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5042 |
apply(rule_tac x="([(y,yaa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5043 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5044 |
apply(rule_tac x="([(y,yaa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5045 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5046 |
apply(rule_tac x="([(y,yaa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5047 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5048 |
apply(rule_tac x="([(y,yaa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5049 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5050 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5051 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5052 |
lemma a_redu_OrR1_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5053 |
assumes a: "OrR1 <a>.M b \<longrightarrow>\<^isub>a R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5054 |
shows "\<exists>M'. R = OrR1 <a>.M' b \<and> M\<longrightarrow>\<^isub>aM'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5055 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5056 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5057 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5058 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5059 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5060 |
apply(rotate_tac 2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5061 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5062 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5063 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5064 |
apply(auto simp add: alpha a_redu.eqvt) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5065 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5066 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5067 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5068 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5069 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5070 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5071 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5072 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5073 |
lemma a_redu_OrR2_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5074 |
assumes a: "OrR2 <a>.M b \<longrightarrow>\<^isub>a R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5075 |
shows "\<exists>M'. R = OrR2 <a>.M' b \<and> M\<longrightarrow>\<^isub>aM'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5076 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5077 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5078 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5079 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5080 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5081 |
apply(rotate_tac 2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5082 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5083 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5084 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5085 |
apply(auto simp add: alpha a_redu.eqvt) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5086 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5087 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5088 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5089 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5090 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5091 |
apply(simp add: perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5092 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5093 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5094 |
lemma a_redu_ImpL_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5095 |
assumes a: "ImpL <a>.M (y).N z\<longrightarrow>\<^isub>a R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5096 |
shows "(\<exists>M'. R = ImpL <a>.M' (y).N z \<and> M\<longrightarrow>\<^isub>aM') \<or> (\<exists>N'. R = ImpL <a>.M (y).N' z \<and> N\<longrightarrow>\<^isub>aN')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5097 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5098 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5099 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5100 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5101 |
apply(rotate_tac 5) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5102 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5103 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5104 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5105 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5106 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5107 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5108 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5109 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5110 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5111 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5112 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5113 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5114 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5115 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5116 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5117 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5118 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5119 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5120 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5121 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5122 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5123 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5124 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5125 |
apply(rule_tac x="([(y,xa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5126 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5127 |
apply(rule_tac x="([(y,xa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5128 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5129 |
apply(rule_tac x="([(y,xa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5130 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5131 |
apply(rule_tac x="([(y,xa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5132 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5133 |
apply(rule_tac x="([(y,xa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5134 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5135 |
apply(rule_tac x="([(y,xa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5136 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5137 |
apply(rule_tac x="([(y,xa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5138 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5139 |
apply(rule_tac x="([(y,xa)]\<bullet>N')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5140 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5141 |
apply(rotate_tac 5) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5142 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5143 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5144 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5145 |
apply(rule disjI1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5146 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5147 |
apply(rule_tac x="([(a,aa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5148 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5149 |
apply(rule_tac x="([(a,aa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5150 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5151 |
apply(rule_tac x="([(a,aa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5152 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5153 |
apply(rule_tac x="([(a,aa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5154 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5155 |
apply(rule_tac x="([(a,aaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5156 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5157 |
apply(rule_tac x="([(a,aaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5158 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5159 |
apply(rule_tac x="([(a,aaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5160 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5161 |
apply(rule_tac x="([(a,aaa)]\<bullet>M')" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5162 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5163 |
apply(rule disjI2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5164 |
apply(auto simp add: alpha a_redu.eqvt)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5165 |
apply(rule_tac x="([(y,xa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5166 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5167 |
apply(rule_tac x="([(y,xa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5168 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5169 |
apply(rule_tac x="([(y,xa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5170 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5171 |
apply(rule_tac x="([(y,xa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5172 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5173 |
apply(rule_tac x="([(y,xa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5174 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5175 |
apply(rule_tac x="([(y,xa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5176 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5177 |
apply(rule_tac x="([(y,xa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5178 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5179 |
apply(rule_tac x="([(y,xa)]\<bullet>N'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5180 |
apply(auto simp add: perm_swap fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5181 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5182 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5183 |
lemma a_redu_ImpR_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5184 |
assumes a: "ImpR (x).<a>.M b \<longrightarrow>\<^isub>a R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5185 |
shows "\<exists>M'. R = ImpR (x).<a>.M' b \<and> M\<longrightarrow>\<^isub>aM'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5186 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5187 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5188 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5189 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5190 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5191 |
apply(rotate_tac 2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5192 |
apply(erule_tac a_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5193 |
apply(erule_tac l_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5194 |
apply(erule_tac c_redu.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5195 |
apply(auto simp add: alpha a_redu.eqvt abs_perm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5196 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5197 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5198 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5199 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5200 |
apply(rule_tac x="([(a,aa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5201 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5202 |
apply(rule_tac x="([(a,aaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5203 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5204 |
apply(rule_tac x="([(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5205 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5206 |
apply(rule_tac x="([(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5207 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5208 |
apply(rule_tac x="([(a,aa)]\<bullet>[(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5209 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5210 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5211 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5212 |
apply(rule perm_compose) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5213 |
apply(simp add: calc_atm perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5214 |
apply(rule_tac x="([(a,aaa)]\<bullet>[(x,xa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5215 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5216 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5217 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5218 |
apply(rule perm_compose) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5219 |
apply(simp add: calc_atm perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5220 |
apply(rule_tac x="([(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5221 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5222 |
apply(rule_tac x="([(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5223 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5224 |
apply(rule_tac x="([(a,aa)]\<bullet>[(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5225 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5226 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5227 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5228 |
apply(rule perm_compose) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5229 |
apply(simp add: calc_atm perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5230 |
apply(rule_tac x="([(a,aaa)]\<bullet>[(x,xaa)]\<bullet>M'a)" in exI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5231 |
apply(auto simp add: fresh_left alpha a_redu.eqvt calc_atm fresh_a_redu perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5232 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5233 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5234 |
apply(rule perm_compose) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5235 |
apply(simp add: calc_atm perm_swap) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5236 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5237 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5238 |
text {* Transitive Closure*} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5239 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5240 |
abbreviation |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5241 |
a_star_redu :: "trm \<Rightarrow> trm \<Rightarrow> bool" ("_ \<longrightarrow>\<^isub>a* _" [100,100] 100) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5242 |
where |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5243 |
"M \<longrightarrow>\<^isub>a* M' \<equiv> (a_redu)^** M M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5244 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5245 |
lemma a_starI: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5246 |
assumes a: "M \<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5247 |
shows "M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5248 |
using a by blast |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5249 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5250 |
lemma a_starE: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5251 |
assumes a: "M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5252 |
shows "M = M' \<or> (\<exists>N. M \<longrightarrow>\<^isub>a N \<and> N \<longrightarrow>\<^isub>a* M')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5253 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5254 |
by (induct) (auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5255 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5256 |
lemma a_star_refl: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5257 |
shows "M \<longrightarrow>\<^isub>a* M" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5258 |
by blast |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5259 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5260 |
lemma a_star_trans[trans]: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5261 |
assumes a1: "M1\<longrightarrow>\<^isub>a* M2" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5262 |
and a2: "M2\<longrightarrow>\<^isub>a* M3" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5263 |
shows "M1 \<longrightarrow>\<^isub>a* M3" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5264 |
using a2 a1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5265 |
by (induct) (auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5266 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5267 |
text {* congruence rules for \<longrightarrow>\<^isub>a* *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5268 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5269 |
lemma ax_do_not_a_star_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5270 |
shows "Ax x a \<longrightarrow>\<^isub>a* M \<Longrightarrow> M = Ax x a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5271 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5272 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5273 |
apply(drule ax_do_not_a_reduce) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5274 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5275 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5276 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5277 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5278 |
lemma a_star_CutL: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5279 |
"M \<longrightarrow>\<^isub>a* M' \<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>a* Cut <a>.M' (x).N" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5280 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5281 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5282 |
lemma a_star_CutR: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5283 |
"N \<longrightarrow>\<^isub>a* N'\<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>a* Cut <a>.M (x).N'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5284 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5285 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5286 |
lemma a_star_Cut: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5287 |
"\<lbrakk>M \<longrightarrow>\<^isub>a* M'; N \<longrightarrow>\<^isub>a* N'\<rbrakk> \<Longrightarrow> Cut <a>.M (x).N \<longrightarrow>\<^isub>a* Cut <a>.M' (x).N'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5288 |
by (blast intro!: a_star_CutL a_star_CutR intro: rtranclp_trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5289 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5290 |
lemma a_star_NotR: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5291 |
"M \<longrightarrow>\<^isub>a* M' \<Longrightarrow> NotR (x).M a \<longrightarrow>\<^isub>a* NotR (x).M' a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5292 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5293 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5294 |
lemma a_star_NotL: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5295 |
"M \<longrightarrow>\<^isub>a* M' \<Longrightarrow> NotL <a>.M x \<longrightarrow>\<^isub>a* NotL <a>.M' x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5296 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5297 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5298 |
lemma a_star_AndRL: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5299 |
"M \<longrightarrow>\<^isub>a* M'\<Longrightarrow> AndR <a>.M <b>.N c \<longrightarrow>\<^isub>a* AndR <a>.M' <b>.N c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5300 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5301 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5302 |
lemma a_star_AndRR: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5303 |
"N \<longrightarrow>\<^isub>a* N'\<Longrightarrow> AndR <a>.M <b>.N c \<longrightarrow>\<^isub>a* AndR <a>.M <b>.N' c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5304 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5305 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5306 |
lemma a_star_AndR: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5307 |
"\<lbrakk>M \<longrightarrow>\<^isub>a* M'; N \<longrightarrow>\<^isub>a* N'\<rbrakk> \<Longrightarrow> AndR <a>.M <b>.N c \<longrightarrow>\<^isub>a* AndR <a>.M' <b>.N' c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5308 |
by (blast intro!: a_star_AndRL a_star_AndRR intro: rtranclp_trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5309 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5310 |
lemma a_star_AndL1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5311 |
"M \<longrightarrow>\<^isub>a* M' \<Longrightarrow> AndL1 (x).M y \<longrightarrow>\<^isub>a* AndL1 (x).M' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5312 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5313 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5314 |
lemma a_star_AndL2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5315 |
"M \<longrightarrow>\<^isub>a* M' \<Longrightarrow> AndL2 (x).M y \<longrightarrow>\<^isub>a* AndL2 (x).M' y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5316 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5317 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5318 |
lemma a_star_OrLL: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5319 |
"M \<longrightarrow>\<^isub>a* M'\<Longrightarrow> OrL (x).M (y).N z \<longrightarrow>\<^isub>a* OrL (x).M' (y).N z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5320 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5321 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5322 |
lemma a_star_OrLR: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5323 |
"N \<longrightarrow>\<^isub>a* N'\<Longrightarrow> OrL (x).M (y).N z \<longrightarrow>\<^isub>a* OrL (x).M (y).N' z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5324 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5325 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5326 |
lemma a_star_OrL: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5327 |
"\<lbrakk>M \<longrightarrow>\<^isub>a* M'; N \<longrightarrow>\<^isub>a* N'\<rbrakk> \<Longrightarrow> OrL (x).M (y).N z \<longrightarrow>\<^isub>a* OrL (x).M' (y).N' z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5328 |
by (blast intro!: a_star_OrLL a_star_OrLR intro: rtranclp_trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5329 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5330 |
lemma a_star_OrR1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5331 |
"M \<longrightarrow>\<^isub>a* M' \<Longrightarrow> OrR1 <a>.M b \<longrightarrow>\<^isub>a* OrR1 <a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5332 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5333 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5334 |
lemma a_star_OrR2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5335 |
"M \<longrightarrow>\<^isub>a* M' \<Longrightarrow> OrR2 <a>.M b \<longrightarrow>\<^isub>a* OrR2 <a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5336 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5337 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5338 |
lemma a_star_ImpLL: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5339 |
"M \<longrightarrow>\<^isub>a* M'\<Longrightarrow> ImpL <a>.M (y).N z \<longrightarrow>\<^isub>a* ImpL <a>.M' (y).N z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5340 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5341 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5342 |
lemma a_star_ImpLR: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5343 |
"N \<longrightarrow>\<^isub>a* N'\<Longrightarrow> ImpL <a>.M (y).N z \<longrightarrow>\<^isub>a* ImpL <a>.M (y).N' z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5344 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5345 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5346 |
lemma a_star_ImpL: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5347 |
"\<lbrakk>M \<longrightarrow>\<^isub>a* M'; N \<longrightarrow>\<^isub>a* N'\<rbrakk> \<Longrightarrow> ImpL <a>.M (y).N z \<longrightarrow>\<^isub>a* ImpL <a>.M' (y).N' z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5348 |
by (blast intro!: a_star_ImpLL a_star_ImpLR intro: rtranclp_trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5349 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5350 |
lemma a_star_ImpR: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5351 |
"M \<longrightarrow>\<^isub>a* M' \<Longrightarrow> ImpR (x).<a>.M b \<longrightarrow>\<^isub>a* ImpR (x).<a>.M' b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5352 |
by (induct set: rtranclp) (blast intro: rtranclp.rtrancl_into_rtrancl)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5353 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5354 |
lemmas a_star_congs = a_star_Cut a_star_NotR a_star_NotL a_star_AndR a_star_AndL1 a_star_AndL2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5355 |
a_star_OrL a_star_OrR1 a_star_OrR2 a_star_ImpL a_star_ImpR |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5356 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5357 |
lemma a_star_redu_NotL_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5358 |
assumes a: "NotL <a>.M x \<longrightarrow>\<^isub>a* R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5359 |
shows "\<exists>M'. R = NotL <a>.M' x \<and> M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5360 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5361 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5362 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5363 |
apply(drule a_redu_NotL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5364 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5365 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5366 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5367 |
lemma a_star_redu_NotR_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5368 |
assumes a: "NotR (x).M a \<longrightarrow>\<^isub>a* R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5369 |
shows "\<exists>M'. R = NotR (x).M' a \<and> M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5370 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5371 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5372 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5373 |
apply(drule a_redu_NotR_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5374 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5375 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5376 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5377 |
lemma a_star_redu_AndR_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5378 |
assumes a: "AndR <a>.M <b>.N c\<longrightarrow>\<^isub>a* R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5379 |
shows "(\<exists>M' N'. R = AndR <a>.M' <b>.N' c \<and> M \<longrightarrow>\<^isub>a* M' \<and> N \<longrightarrow>\<^isub>a* N')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5380 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5381 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5382 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5383 |
apply(drule a_redu_AndR_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5384 |
apply(auto simp add: alpha trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5385 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5386 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5387 |
lemma a_star_redu_AndL1_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5388 |
assumes a: "AndL1 (x).M y \<longrightarrow>\<^isub>a* R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5389 |
shows "\<exists>M'. R = AndL1 (x).M' y \<and> M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5390 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5391 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5392 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5393 |
apply(drule a_redu_AndL1_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5394 |
apply(auto simp add: alpha trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5395 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5396 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5397 |
lemma a_star_redu_AndL2_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5398 |
assumes a: "AndL2 (x).M y \<longrightarrow>\<^isub>a* R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5399 |
shows "\<exists>M'. R = AndL2 (x).M' y \<and> M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5400 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5401 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5402 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5403 |
apply(drule a_redu_AndL2_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5404 |
apply(auto simp add: alpha trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5405 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5406 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5407 |
lemma a_star_redu_OrL_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5408 |
assumes a: "OrL (x).M (y).N z \<longrightarrow>\<^isub>a* R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5409 |
shows "(\<exists>M' N'. R = OrL (x).M' (y).N' z \<and> M \<longrightarrow>\<^isub>a* M' \<and> N \<longrightarrow>\<^isub>a* N')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5410 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5411 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5412 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5413 |
apply(drule a_redu_OrL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5414 |
apply(auto simp add: alpha trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5415 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5416 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5417 |
lemma a_star_redu_OrR1_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5418 |
assumes a: "OrR1 <a>.M y \<longrightarrow>\<^isub>a* R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5419 |
shows "\<exists>M'. R = OrR1 <a>.M' y \<and> M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5420 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5421 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5422 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5423 |
apply(drule a_redu_OrR1_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5424 |
apply(auto simp add: alpha trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5425 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5426 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5427 |
lemma a_star_redu_OrR2_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5428 |
assumes a: "OrR2 <a>.M y \<longrightarrow>\<^isub>a* R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5429 |
shows "\<exists>M'. R = OrR2 <a>.M' y \<and> M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5430 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5431 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5432 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5433 |
apply(drule a_redu_OrR2_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5434 |
apply(auto simp add: alpha trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5435 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5436 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5437 |
lemma a_star_redu_ImpR_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5438 |
assumes a: "ImpR (x).<a>.M y \<longrightarrow>\<^isub>a* R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5439 |
shows "\<exists>M'. R = ImpR (x).<a>.M' y \<and> M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5440 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5441 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5442 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5443 |
apply(drule a_redu_ImpR_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5444 |
apply(auto simp add: alpha trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5445 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5446 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5447 |
lemma a_star_redu_ImpL_elim: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5448 |
assumes a: "ImpL <a>.M (y).N z \<longrightarrow>\<^isub>a* R" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5449 |
shows "(\<exists>M' N'. R = ImpL <a>.M' (y).N' z \<and> M \<longrightarrow>\<^isub>a* M' \<and> N \<longrightarrow>\<^isub>a* N')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5450 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5451 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5452 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5453 |
apply(drule a_redu_ImpL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5454 |
apply(auto simp add: alpha trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5455 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5456 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5457 |
text {* Substitution *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5458 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5459 |
lemma subst_not_fin1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5460 |
shows "\<not>fin(M{x:=<c>.P}) x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5461 |
apply(nominal_induct M avoiding: x c P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5462 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5463 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5464 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5465 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5466 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5467 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5468 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<c>.P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5469 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5470 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5471 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5472 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5473 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5474 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5475 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5476 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5477 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5478 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5479 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5480 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5481 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5482 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5483 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5484 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5485 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<c>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5486 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5487 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5488 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5489 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5490 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5491 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5492 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5493 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5494 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5495 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{x:=<c>.P},P,name1,trm2{x:=<c>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5496 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5497 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5498 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5499 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5500 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5501 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5502 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5503 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5504 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<c>.P},P,name1,trm2{name2:=<c>.P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5505 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5506 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5507 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5508 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5509 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5510 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5511 |
apply(erule fin.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5512 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5513 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5514 |
lemma subst_not_fin2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5515 |
assumes a: "\<not>fin M y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5516 |
shows "\<not>fin(M{c:=(x).P}) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5517 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5518 |
apply(nominal_induct M avoiding: x c P y rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5519 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5520 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5521 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5522 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5523 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(trm{coname:=(x).P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5524 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5525 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5526 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5527 |
apply(simp add: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5528 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5529 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5530 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5531 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5532 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5533 |
apply(drule freshn_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5534 |
apply(simp add: fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5535 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(trm1{coname3:=(x).P},P,coname1,trm2{coname3:=(x).P},coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5536 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5537 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5538 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5539 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5540 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5541 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5542 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5543 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5544 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5545 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5546 |
apply(drule freshn_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5547 |
apply(simp add: fin.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5548 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5549 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5550 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5551 |
apply(drule freshn_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5552 |
apply(simp add: fin.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5553 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5554 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5555 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5556 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5557 |
apply(simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5558 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5559 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5560 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5561 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5562 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5563 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5564 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5565 |
apply(simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5566 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5567 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5568 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5569 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5570 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5571 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5572 |
apply(drule freshn_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5573 |
apply(drule freshn_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5574 |
apply(simp add: fin.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5575 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(trm{coname2:=(x).P},P,coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5576 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5577 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5578 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5579 |
apply(simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5580 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5581 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5582 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5583 |
apply(drule fin_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5584 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5585 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5586 |
apply(drule freshn_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5587 |
apply(drule freshn_after_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5588 |
apply(simp add: fin.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5589 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5590 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5591 |
lemma subst_not_fic1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5592 |
shows "\<not>fic (M{a:=(x).P}) a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5593 |
apply(nominal_induct M avoiding: a x P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5594 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5595 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5596 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5597 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5598 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5599 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm{coname:=(x).P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5600 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5601 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5602 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5603 |
apply(simp add: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5604 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5605 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5606 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5607 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5608 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm1{coname3:=(x).P},P,trm2{coname3:=(x).P},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5609 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5610 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5611 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5612 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5613 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5614 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5615 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5616 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5617 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5618 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5619 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5620 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5621 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5622 |
apply(simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5623 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5624 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5625 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5626 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5627 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5628 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5629 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5630 |
apply(simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5631 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5632 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5633 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5634 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5635 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(trm{coname2:=(x).P},P,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5636 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5637 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5638 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5639 |
apply(simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5640 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5641 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5642 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5643 |
apply(erule fic.cases, simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5644 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5645 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5646 |
lemma subst_not_fic2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5647 |
assumes a: "\<not>fic M a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5648 |
shows "\<not>fic(M{x:=<b>.P}) a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5649 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5650 |
apply(nominal_induct M avoiding: x a P b rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5651 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5652 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5653 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5654 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5655 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5656 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5657 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5658 |
apply(simp add: fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5659 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<b>.P},P)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5660 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5661 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5662 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5663 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5664 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5665 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5666 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5667 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5668 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5669 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5670 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5671 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5672 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5673 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<b>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5674 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5675 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5676 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5677 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5678 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5679 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5680 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5681 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<b>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5682 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5683 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5684 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5685 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5686 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5687 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5688 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5689 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5690 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5691 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5692 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5693 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5694 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5695 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5696 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5697 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5698 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5699 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{x:=<b>.P},P,name1,trm2{x:=<b>.P},name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5700 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5701 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5702 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5703 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5704 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5705 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5706 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5707 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5708 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5709 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5710 |
apply(drule freshc_after_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5711 |
apply(simp add: fic.intros abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5712 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<b>.P},trm2{name2:=<b>.P},P,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5713 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5714 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5715 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5716 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5717 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5718 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5719 |
apply(drule fic_elims, simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5720 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5721 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5722 |
text {* Reductions *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5723 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5724 |
lemma fin_l_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5725 |
assumes a: "fin M x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5726 |
and b: "M \<longrightarrow>\<^isub>l M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5727 |
shows "fin M' x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5728 |
using b a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5729 |
apply(induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5730 |
apply(erule fin.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5731 |
apply(simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5732 |
apply(rotate_tac 3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5733 |
apply(erule fin.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5734 |
apply(simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5735 |
apply(erule fin.cases, simp_all add: trm.inject)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5736 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5737 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5738 |
lemma fin_c_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5739 |
assumes a: "fin M x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5740 |
and b: "M \<longrightarrow>\<^isub>c M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5741 |
shows "fin M' x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5742 |
using b a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5743 |
apply(induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5744 |
apply(erule fin.cases, simp_all add: trm.inject)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5745 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5746 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5747 |
lemma fin_a_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5748 |
assumes a: "fin M x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5749 |
and b: "M \<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5750 |
shows "fin M' x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5751 |
using a b |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5752 |
apply(induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5753 |
apply(drule ax_do_not_a_reduce) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5754 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5755 |
apply(drule a_redu_NotL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5756 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5757 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5758 |
apply(simp add: fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5759 |
apply(drule a_redu_AndL1_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5760 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5761 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5762 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5763 |
apply(drule a_redu_AndL2_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5764 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5765 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5766 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5767 |
apply(drule a_redu_OrL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5768 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5769 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5770 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5771 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5772 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5773 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5774 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5775 |
apply(drule a_redu_ImpL_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5776 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5777 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5778 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5779 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5780 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5781 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5782 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5783 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5784 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5785 |
lemma fin_a_star_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5786 |
assumes a: "fin M x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5787 |
and b: "M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5788 |
shows "fin M' x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5789 |
using b a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5790 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5791 |
apply(auto simp add: fin_a_reduce) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5792 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5793 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5794 |
lemma fic_l_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5795 |
assumes a: "fic M x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5796 |
and b: "M \<longrightarrow>\<^isub>l M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5797 |
shows "fic M' x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5798 |
using b a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5799 |
apply(induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5800 |
apply(erule fic.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5801 |
apply(simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5802 |
apply(rotate_tac 3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5803 |
apply(erule fic.cases) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5804 |
apply(simp_all add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5805 |
apply(erule fic.cases, simp_all add: trm.inject)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5806 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5807 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5808 |
lemma fic_c_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5809 |
assumes a: "fic M x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5810 |
and b: "M \<longrightarrow>\<^isub>c M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5811 |
shows "fic M' x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5812 |
using b a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5813 |
apply(induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5814 |
apply(erule fic.cases, simp_all add: trm.inject)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5815 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5816 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5817 |
lemma fic_a_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5818 |
assumes a: "fic M x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5819 |
and b: "M \<longrightarrow>\<^isub>a M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5820 |
shows "fic M' x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5821 |
using a b |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5822 |
apply(induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5823 |
apply(drule ax_do_not_a_reduce) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5824 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5825 |
apply(drule a_redu_NotR_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5826 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5827 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5828 |
apply(simp add: fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5829 |
apply(drule a_redu_AndR_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5830 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5831 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5832 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5833 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5834 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5835 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5836 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5837 |
apply(drule a_redu_OrR1_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5838 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5839 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5840 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5841 |
apply(drule a_redu_OrR2_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5842 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5843 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5844 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5845 |
apply(drule a_redu_ImpR_elim) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5846 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5847 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5848 |
apply(force simp add: abs_fresh fresh_a_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5849 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5850 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5851 |
lemma fic_a_star_reduce: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5852 |
assumes a: "fic M x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5853 |
and b: "M \<longrightarrow>\<^isub>a* M'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5854 |
shows "fic M' x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5855 |
using b a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5856 |
apply(induct set: rtranclp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5857 |
apply(auto simp add: fic_a_reduce) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5858 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5859 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5860 |
text {* substitution properties *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5861 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5862 |
lemma subst_with_ax1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5863 |
shows "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5864 |
proof(nominal_induct M avoiding: x a y rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5865 |
case (Ax z b x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5866 |
show "(Ax z b){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (Ax z b)[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5867 |
proof (cases "z=x") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5868 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5869 |
assume eq: "z=x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5870 |
have "(Ax z b){x:=<a>.Ax y a} = Cut <a>.Ax y a (x).Ax x b" using eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5871 |
also have "\<dots> \<longrightarrow>\<^isub>a* (Ax x b)[x\<turnstile>n>y]" by blast |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5872 |
finally show "Ax z b{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (Ax z b)[x\<turnstile>n>y]" using eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5873 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5874 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5875 |
assume neq: "z\<noteq>x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5876 |
then show "(Ax z b){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (Ax z b)[x\<turnstile>n>y]" using neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5877 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5878 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5879 |
case (Cut b M z N x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5880 |
have fs: "b\<sharp>x" "b\<sharp>a" "b\<sharp>y" "b\<sharp>N" "z\<sharp>x" "z\<sharp>a" "z\<sharp>y" "z\<sharp>M" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5881 |
have ih1: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5882 |
have ih2: "N{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* N[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5883 |
show "(Cut <b>.M (z).N){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (Cut <b>.M (z).N)[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5884 |
proof (cases "M = Ax x b") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5885 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5886 |
assume eq: "M = Ax x b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5887 |
have "(Cut <b>.M (z).N){x:=<a>.Ax y a} = Cut <a>.Ax y a (z).(N{x:=<a>.Ax y a})" using fs eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5888 |
also have "\<dots> \<longrightarrow>\<^isub>a* Cut <a>.Ax y a (z).(N[x\<turnstile>n>y])" using ih2 a_star_congs by blast |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5889 |
also have "\<dots> = Cut <b>.(M[x\<turnstile>n>y]) (z).(N[x\<turnstile>n>y])" using eq |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5890 |
by (simp add: trm.inject alpha calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5891 |
finally show "(Cut <b>.M (z).N){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (Cut <b>.M (z).N)[x\<turnstile>n>y]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5892 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5893 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5894 |
assume neq: "M \<noteq> Ax x b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5895 |
have "(Cut <b>.M (z).N){x:=<a>.Ax y a} = Cut <b>.(M{x:=<a>.Ax y a}) (z).(N{x:=<a>.Ax y a})" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5896 |
using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5897 |
also have "\<dots> \<longrightarrow>\<^isub>a* Cut <b>.(M[x\<turnstile>n>y]) (z).(N[x\<turnstile>n>y])" using ih1 ih2 a_star_congs by blast |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5898 |
finally show "(Cut <b>.M (z).N){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (Cut <b>.M (z).N)[x\<turnstile>n>y]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5899 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5900 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5901 |
case (NotR z M b x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5902 |
have fs: "z\<sharp>x" "z\<sharp>a" "z\<sharp>y" "z\<sharp>b" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5903 |
have ih: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5904 |
have "(NotR (z).M b){x:=<a>.Ax y a} = NotR (z).(M{x:=<a>.Ax y a}) b" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5905 |
also have "\<dots> \<longrightarrow>\<^isub>a* NotR (z).(M[x\<turnstile>n>y]) b" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5906 |
finally show "(NotR (z).M b){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (NotR (z).M b)[x\<turnstile>n>y]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5907 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5908 |
case (NotL b M z x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5909 |
have fs: "b\<sharp>x" "b\<sharp>a" "b\<sharp>y" "b\<sharp>z" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5910 |
have ih: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5911 |
show "(NotL <b>.M z){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (NotL <b>.M z)[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5912 |
proof(cases "z=x") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5913 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5914 |
assume eq: "z=x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5915 |
obtain x'::"name" where new: "x'\<sharp>(Ax y a,M{x:=<a>.Ax y a})" by (rule exists_fresh(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5916 |
have "(NotL <b>.M z){x:=<a>.Ax y a} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5917 |
fresh_fun (\<lambda>x'. Cut <a>.Ax y a (x').NotL <b>.(M{x:=<a>.Ax y a}) x')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5918 |
using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5919 |
also have "\<dots> = Cut <a>.Ax y a (x').NotL <b>.(M{x:=<a>.Ax y a}) x'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5920 |
using new by (simp add: fresh_fun_simp_NotL fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5921 |
also have "\<dots> \<longrightarrow>\<^isub>a* (NotL <b>.(M{x:=<a>.Ax y a}) x')[x'\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5922 |
using new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5923 |
apply(rule_tac a_starI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5924 |
apply(rule al_redu) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5925 |
apply(rule better_LAxL_intro) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5926 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5927 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5928 |
also have "\<dots> = NotL <b>.(M{x:=<a>.Ax y a}) y" using new by (simp add: nrename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5929 |
also have "\<dots> \<longrightarrow>\<^isub>a* NotL <b>.(M[x\<turnstile>n>y]) y" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5930 |
also have "\<dots> = (NotL <b>.M z)[x\<turnstile>n>y]" using eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5931 |
finally show "(NotL <b>.M z){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (NotL <b>.M z)[x\<turnstile>n>y]" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5932 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5933 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5934 |
assume neq: "z\<noteq>x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5935 |
have "(NotL <b>.M z){x:=<a>.Ax y a} = NotL <b>.(M{x:=<a>.Ax y a}) z" using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5936 |
also have "\<dots> \<longrightarrow>\<^isub>a* NotL <b>.(M[x\<turnstile>n>y]) z" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5937 |
finally show "(NotL <b>.M z){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (NotL <b>.M z)[x\<turnstile>n>y]" using neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5938 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5939 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5940 |
case (AndR c M d N e x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5941 |
have fs: "c\<sharp>x" "c\<sharp>a" "c\<sharp>y" "d\<sharp>x" "d\<sharp>a" "d\<sharp>y" "d\<noteq>c" "c\<sharp>N" "c\<sharp>e" "d\<sharp>M" "d\<sharp>e" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5942 |
have ih1: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5943 |
have ih2: "N{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* N[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5944 |
have "(AndR <c>.M <d>.N e){x:=<a>.Ax y a} = AndR <c>.(M{x:=<a>.Ax y a}) <d>.(N{x:=<a>.Ax y a}) e" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5945 |
using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5946 |
also have "\<dots> \<longrightarrow>\<^isub>a* AndR <c>.(M[x\<turnstile>n>y]) <d>.(N[x\<turnstile>n>y]) e" using ih1 ih2 by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5947 |
finally show "(AndR <c>.M <d>.N e){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (AndR <c>.M <d>.N e)[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5948 |
using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5949 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5950 |
case (AndL1 u M v x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5951 |
have fs: "u\<sharp>x" "u\<sharp>a" "u\<sharp>y" "u\<sharp>v" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5952 |
have ih: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5953 |
show "(AndL1 (u).M v){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (AndL1 (u).M v)[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5954 |
proof(cases "v=x") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5955 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5956 |
assume eq: "v=x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5957 |
obtain v'::"name" where new: "v'\<sharp>(Ax y a,M{x:=<a>.Ax y a},u)" by (rule exists_fresh(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5958 |
have "(AndL1 (u).M v){x:=<a>.Ax y a} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5959 |
fresh_fun (\<lambda>v'. Cut <a>.Ax y a (v').AndL1 (u).(M{x:=<a>.Ax y a}) v')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5960 |
using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5961 |
also have "\<dots> = Cut <a>.Ax y a (v').AndL1 (u).(M{x:=<a>.Ax y a}) v'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5962 |
using new by (simp add: fresh_fun_simp_AndL1 fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5963 |
also have "\<dots> \<longrightarrow>\<^isub>a* (AndL1 (u).(M{x:=<a>.Ax y a}) v')[v'\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5964 |
using new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5965 |
apply(rule_tac a_starI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5966 |
apply(rule a_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5967 |
apply(rule better_LAxL_intro) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5968 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5969 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5970 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5971 |
also have "\<dots> = AndL1 (u).(M{x:=<a>.Ax y a}) y" using fs new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5972 |
by (auto simp add: fresh_prod fresh_atm nrename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5973 |
also have "\<dots> \<longrightarrow>\<^isub>a* AndL1 (u).(M[x\<turnstile>n>y]) y" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5974 |
also have "\<dots> = (AndL1 (u).M v)[x\<turnstile>n>y]" using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5975 |
finally show "(AndL1 (u).M v){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (AndL1 (u).M v)[x\<turnstile>n>y]" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5976 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5977 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5978 |
assume neq: "v\<noteq>x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5979 |
have "(AndL1 (u).M v){x:=<a>.Ax y a} = AndL1 (u).(M{x:=<a>.Ax y a}) v" using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5980 |
also have "\<dots> \<longrightarrow>\<^isub>a* AndL1 (u).(M[x\<turnstile>n>y]) v" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5981 |
finally show "(AndL1 (u).M v){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (AndL1 (u).M v)[x\<turnstile>n>y]" using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5982 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5983 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5984 |
case (AndL2 u M v x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5985 |
have fs: "u\<sharp>x" "u\<sharp>a" "u\<sharp>y" "u\<sharp>v" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5986 |
have ih: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5987 |
show "(AndL2 (u).M v){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (AndL2 (u).M v)[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5988 |
proof(cases "v=x") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5989 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5990 |
assume eq: "v=x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5991 |
obtain v'::"name" where new: "v'\<sharp>(Ax y a,M{x:=<a>.Ax y a},u)" by (rule exists_fresh(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5992 |
have "(AndL2 (u).M v){x:=<a>.Ax y a} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5993 |
fresh_fun (\<lambda>v'. Cut <a>.Ax y a (v').AndL2 (u).(M{x:=<a>.Ax y a}) v')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5994 |
using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5995 |
also have "\<dots> = Cut <a>.Ax y a (v').AndL2 (u).(M{x:=<a>.Ax y a}) v'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5996 |
using new by (simp add: fresh_fun_simp_AndL2 fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5997 |
also have "\<dots> \<longrightarrow>\<^isub>a* (AndL2 (u).(M{x:=<a>.Ax y a}) v')[v'\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5998 |
using new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
5999 |
apply(rule_tac a_starI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6000 |
apply(rule a_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6001 |
apply(rule better_LAxL_intro) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6002 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6003 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6004 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6005 |
also have "\<dots> = AndL2 (u).(M{x:=<a>.Ax y a}) y" using fs new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6006 |
by (auto simp add: fresh_prod fresh_atm nrename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6007 |
also have "\<dots> \<longrightarrow>\<^isub>a* AndL2 (u).(M[x\<turnstile>n>y]) y" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6008 |
also have "\<dots> = (AndL2 (u).M v)[x\<turnstile>n>y]" using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6009 |
finally show "(AndL2 (u).M v){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (AndL2 (u).M v)[x\<turnstile>n>y]" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6010 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6011 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6012 |
assume neq: "v\<noteq>x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6013 |
have "(AndL2 (u).M v){x:=<a>.Ax y a} = AndL2 (u).(M{x:=<a>.Ax y a}) v" using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6014 |
also have "\<dots> \<longrightarrow>\<^isub>a* AndL2 (u).(M[x\<turnstile>n>y]) v" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6015 |
finally show "(AndL2 (u).M v){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (AndL2 (u).M v)[x\<turnstile>n>y]" using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6016 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6017 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6018 |
case (OrR1 c M d x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6019 |
have fs: "c\<sharp>x" "c\<sharp>a" "c\<sharp>y" "c\<sharp>d" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6020 |
have ih: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6021 |
have "(OrR1 <c>.M d){x:=<a>.Ax y a} = OrR1 <c>.(M{x:=<a>.Ax y a}) d" using fs by (simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6022 |
also have "\<dots> \<longrightarrow>\<^isub>a* OrR1 <c>.(M[x\<turnstile>n>y]) d" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6023 |
finally show "(OrR1 <c>.M d){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (OrR1 <c>.M d)[x\<turnstile>n>y]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6024 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6025 |
case (OrR2 c M d x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6026 |
have fs: "c\<sharp>x" "c\<sharp>a" "c\<sharp>y" "c\<sharp>d" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6027 |
have ih: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6028 |
have "(OrR2 <c>.M d){x:=<a>.Ax y a} = OrR2 <c>.(M{x:=<a>.Ax y a}) d" using fs by (simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6029 |
also have "\<dots> \<longrightarrow>\<^isub>a* OrR2 <c>.(M[x\<turnstile>n>y]) d" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6030 |
finally show "(OrR2 <c>.M d){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (OrR2 <c>.M d)[x\<turnstile>n>y]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6031 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6032 |
case (OrL u M v N z x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6033 |
have fs: "u\<sharp>x" "u\<sharp>a" "u\<sharp>y" "v\<sharp>x" "v\<sharp>a" "v\<sharp>y" "v\<noteq>u" "u\<sharp>N" "u\<sharp>z" "v\<sharp>M" "v\<sharp>z" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6034 |
have ih1: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6035 |
have ih2: "N{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* N[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6036 |
show "(OrL (u).M (v).N z){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (OrL (u).M (v).N z)[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6037 |
proof(cases "z=x") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6038 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6039 |
assume eq: "z=x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6040 |
obtain z'::"name" where new: "z'\<sharp>(Ax y a,M{x:=<a>.Ax y a},N{x:=<a>.Ax y a},u,v,y,a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6041 |
by (rule exists_fresh(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6042 |
have "(OrL (u).M (v).N z){x:=<a>.Ax y a} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6043 |
fresh_fun (\<lambda>z'. Cut <a>.Ax y a (z').OrL (u).(M{x:=<a>.Ax y a}) (v).(N{x:=<a>.Ax y a}) z')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6044 |
using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6045 |
also have "\<dots> = Cut <a>.Ax y a (z').OrL (u).(M{x:=<a>.Ax y a}) (v).(N{x:=<a>.Ax y a}) z'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6046 |
using new by (simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6047 |
also have "\<dots> \<longrightarrow>\<^isub>a* (OrL (u).(M{x:=<a>.Ax y a}) (v).(N{x:=<a>.Ax y a}) z')[z'\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6048 |
using new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6049 |
apply(rule_tac a_starI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6050 |
apply(rule a_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6051 |
apply(rule better_LAxL_intro) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6052 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6053 |
apply(simp_all add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6054 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6055 |
also have "\<dots> = OrL (u).(M{x:=<a>.Ax y a}) (v).(N{x:=<a>.Ax y a}) y" using fs new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6056 |
by (auto simp add: fresh_prod fresh_atm nrename_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6057 |
also have "\<dots> \<longrightarrow>\<^isub>a* OrL (u).(M[x\<turnstile>n>y]) (v).(N[x\<turnstile>n>y]) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6058 |
using ih1 ih2 by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6059 |
also have "\<dots> = (OrL (u).M (v).N z)[x\<turnstile>n>y]" using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6060 |
finally show "(OrL (u).M (v).N z){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (OrL (u).M (v).N z)[x\<turnstile>n>y]" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6061 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6062 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6063 |
assume neq: "z\<noteq>x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6064 |
have "(OrL (u).M (v).N z){x:=<a>.Ax y a} = OrL (u).(M{x:=<a>.Ax y a}) (v).(N{x:=<a>.Ax y a}) z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6065 |
using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6066 |
also have "\<dots> \<longrightarrow>\<^isub>a* OrL (u).(M[x\<turnstile>n>y]) (v).(N[x\<turnstile>n>y]) z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6067 |
using ih1 ih2 by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6068 |
finally show "(OrL (u).M (v).N z){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (OrL (u).M (v).N z)[x\<turnstile>n>y]" using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6069 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6070 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6071 |
case (ImpR z c M d x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6072 |
have fs: "z\<sharp>x" "z\<sharp>a" "z\<sharp>y" "c\<sharp>x" "c\<sharp>a" "c\<sharp>y" "z\<sharp>d" "c\<sharp>d" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6073 |
have ih: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6074 |
have "(ImpR (z).<c>.M d){x:=<a>.Ax y a} = ImpR (z).<c>.(M{x:=<a>.Ax y a}) d" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6075 |
also have "\<dots> \<longrightarrow>\<^isub>a* ImpR (z).<c>.(M[x\<turnstile>n>y]) d" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6076 |
finally show "(ImpR (z).<c>.M d){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (ImpR (z).<c>.M d)[x\<turnstile>n>y]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6077 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6078 |
case (ImpL c M u N v x a y) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6079 |
have fs: "c\<sharp>x" "c\<sharp>a" "c\<sharp>y" "u\<sharp>x" "u\<sharp>a" "u\<sharp>y" "c\<sharp>N" "c\<sharp>v" "u\<sharp>M" "u\<sharp>v" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6080 |
have ih1: "M{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* M[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6081 |
have ih2: "N{x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* N[x\<turnstile>n>y]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6082 |
show "(ImpL <c>.M (u).N v){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (ImpL <c>.M (u).N v)[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6083 |
proof(cases "v=x") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6084 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6085 |
assume eq: "v=x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6086 |
obtain v'::"name" where new: "v'\<sharp>(Ax y a,M{x:=<a>.Ax y a},N{x:=<a>.Ax y a},y,a,u)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6087 |
by (rule exists_fresh(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6088 |
have "(ImpL <c>.M (u).N v){x:=<a>.Ax y a} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6089 |
fresh_fun (\<lambda>v'. Cut <a>.Ax y a (v').ImpL <c>.(M{x:=<a>.Ax y a}) (u).(N{x:=<a>.Ax y a}) v')" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6090 |
using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6091 |
also have "\<dots> = Cut <a>.Ax y a (v').ImpL <c>.(M{x:=<a>.Ax y a}) (u).(N{x:=<a>.Ax y a}) v'" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6092 |
using new by (simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6093 |
also have "\<dots> \<longrightarrow>\<^isub>a* (ImpL <c>.(M{x:=<a>.Ax y a}) (u).(N{x:=<a>.Ax y a}) v')[v'\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6094 |
using new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6095 |
apply(rule_tac a_starI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6096 |
apply(rule a_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6097 |
apply(rule better_LAxL_intro) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6098 |
apply(rule fin.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6099 |
apply(simp_all add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6100 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6101 |
also have "\<dots> = ImpL <c>.(M{x:=<a>.Ax y a}) (u).(N{x:=<a>.Ax y a}) y" using fs new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6102 |
by (auto simp add: fresh_prod subst_fresh fresh_atm trm.inject alpha rename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6103 |
also have "\<dots> \<longrightarrow>\<^isub>a* ImpL <c>.(M[x\<turnstile>n>y]) (u).(N[x\<turnstile>n>y]) y" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6104 |
using ih1 ih2 by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6105 |
also have "\<dots> = (ImpL <c>.M (u).N v)[x\<turnstile>n>y]" using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6106 |
finally show "(ImpL <c>.M (u).N v){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (ImpL <c>.M (u).N v)[x\<turnstile>n>y]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6107 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6108 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6109 |
assume neq: "v\<noteq>x" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6110 |
have "(ImpL <c>.M (u).N v){x:=<a>.Ax y a} = ImpL <c>.(M{x:=<a>.Ax y a}) (u).(N{x:=<a>.Ax y a}) v" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6111 |
using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6112 |
also have "\<dots> \<longrightarrow>\<^isub>a* ImpL <c>.(M[x\<turnstile>n>y]) (u).(N[x\<turnstile>n>y]) v" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6113 |
using ih1 ih2 by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6114 |
finally show "(ImpL <c>.M (u).N v){x:=<a>.Ax y a} \<longrightarrow>\<^isub>a* (ImpL <c>.M (u).N v)[x\<turnstile>n>y]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6115 |
using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6116 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6117 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6118 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6119 |
lemma subst_with_ax2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6120 |
shows "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6121 |
proof(nominal_induct M avoiding: b a x rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6122 |
case (Ax z c b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6123 |
show "(Ax z c){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (Ax z c)[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6124 |
proof (cases "c=b") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6125 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6126 |
assume eq: "c=b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6127 |
have "(Ax z c){b:=(x).Ax x a} = Cut <b>.Ax z c (x).Ax x a" using eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6128 |
also have "\<dots> \<longrightarrow>\<^isub>a* (Ax z c)[b\<turnstile>c>a]" using eq by blast |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6129 |
finally show "(Ax z c){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (Ax z c)[b\<turnstile>c>a]" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6130 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6131 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6132 |
assume neq: "c\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6133 |
then show "(Ax z c){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (Ax z c)[b\<turnstile>c>a]" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6134 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6135 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6136 |
case (Cut c M z N b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6137 |
have fs: "c\<sharp>b" "c\<sharp>a" "c\<sharp>x" "c\<sharp>N" "z\<sharp>b" "z\<sharp>a" "z\<sharp>x" "z\<sharp>M" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6138 |
have ih1: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6139 |
have ih2: "N{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* N[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6140 |
show "(Cut <c>.M (z).N){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (Cut <c>.M (z).N)[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6141 |
proof (cases "N = Ax z b") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6142 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6143 |
assume eq: "N = Ax z b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6144 |
have "(Cut <c>.M (z).N){b:=(x).Ax x a} = Cut <c>.(M{b:=(x).Ax x a}) (x).Ax x a" using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6145 |
also have "\<dots> \<longrightarrow>\<^isub>a* Cut <c>.(M[b\<turnstile>c>a]) (x).Ax x a" using ih1 a_star_congs by blast |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6146 |
also have "\<dots> = Cut <c>.(M[b\<turnstile>c>a]) (z).(N[b\<turnstile>c>a])" using eq fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6147 |
by (simp add: trm.inject alpha calc_atm fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6148 |
finally show "(Cut <c>.M (z).N){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (Cut <c>.M (z).N)[b\<turnstile>c>a]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6149 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6150 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6151 |
assume neq: "N \<noteq> Ax z b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6152 |
have "(Cut <c>.M (z).N){b:=(x).Ax x a} = Cut <c>.(M{b:=(x).Ax x a}) (z).(N{b:=(x).Ax x a})" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6153 |
using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6154 |
also have "\<dots> \<longrightarrow>\<^isub>a* Cut <c>.(M[b\<turnstile>c>a]) (z).(N[b\<turnstile>c>a])" using ih1 ih2 a_star_congs by blast |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6155 |
finally show "(Cut <c>.M (z).N){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (Cut <c>.M (z).N)[b\<turnstile>c>a]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6156 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6157 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6158 |
case (NotR z M c b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6159 |
have fs: "z\<sharp>b" "z\<sharp>a" "z\<sharp>x" "z\<sharp>c" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6160 |
have ih: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6161 |
show "(NotR (z).M c){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (NotR (z).M c)[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6162 |
proof (cases "c=b") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6163 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6164 |
assume eq: "c=b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6165 |
obtain a'::"coname" where new: "a'\<sharp>(Ax x a,M{b:=(x).Ax x a})" by (rule exists_fresh(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6166 |
have "(NotR (z).M c){b:=(x).Ax x a} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6167 |
fresh_fun (\<lambda>a'. Cut <a'>.NotR (z).M{b:=(x).Ax x a} a' (x).Ax x a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6168 |
using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6169 |
also have "\<dots> = Cut <a'>.NotR (z).M{b:=(x).Ax x a} a' (x).Ax x a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6170 |
using new by (simp add: fresh_fun_simp_NotR fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6171 |
also have "\<dots> \<longrightarrow>\<^isub>a* (NotR (z).(M{b:=(x).Ax x a}) a')[a'\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6172 |
using new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6173 |
apply(rule_tac a_starI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6174 |
apply(rule a_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6175 |
apply(rule better_LAxR_intro) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6176 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6177 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6178 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6179 |
also have "\<dots> = NotR (z).(M{b:=(x).Ax x a}) a" using new by (simp add: crename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6180 |
also have "\<dots> \<longrightarrow>\<^isub>a* NotR (z).(M[b\<turnstile>c>a]) a" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6181 |
also have "\<dots> = (NotR (z).M c)[b\<turnstile>c>a]" using eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6182 |
finally show "(NotR (z).M c){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (NotR (z).M c)[b\<turnstile>c>a]" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6183 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6184 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6185 |
assume neq: "c\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6186 |
have "(NotR (z).M c){b:=(x).Ax x a} = NotR (z).(M{b:=(x).Ax x a}) c" using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6187 |
also have "\<dots> \<longrightarrow>\<^isub>a* NotR (z).(M[b\<turnstile>c>a]) c" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6188 |
finally show "(NotR (z).M c){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (NotR (z).M c)[b\<turnstile>c>a]" using neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6189 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6190 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6191 |
case (NotL c M z b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6192 |
have fs: "c\<sharp>b" "c\<sharp>a" "c\<sharp>x" "c\<sharp>z" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6193 |
have ih: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6194 |
have "(NotL <c>.M z){b:=(x).Ax x a} = NotL <c>.(M{b:=(x).Ax x a}) z" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6195 |
also have "\<dots> \<longrightarrow>\<^isub>a* NotL <c>.(M[b\<turnstile>c>a]) z" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6196 |
finally show "(NotL <c>.M z){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (NotL <c>.M z)[b\<turnstile>c>a]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6197 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6198 |
case (AndR c M d N e b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6199 |
have fs: "c\<sharp>b" "c\<sharp>a" "c\<sharp>x" "d\<sharp>b" "d\<sharp>a" "d\<sharp>x" "d\<noteq>c" "c\<sharp>N" "c\<sharp>e" "d\<sharp>M" "d\<sharp>e" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6200 |
have ih1: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6201 |
have ih2: "N{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* N[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6202 |
show "(AndR <c>.M <d>.N e){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (AndR <c>.M <d>.N e)[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6203 |
proof(cases "e=b") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6204 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6205 |
assume eq: "e=b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6206 |
obtain e'::"coname" where new: "e'\<sharp>(Ax x a,M{b:=(x).Ax x a},N{b:=(x).Ax x a},c,d)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6207 |
by (rule exists_fresh(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6208 |
have "(AndR <c>.M <d>.N e){b:=(x).Ax x a} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6209 |
fresh_fun (\<lambda>e'. Cut <e'>.AndR <c>.(M{b:=(x).Ax x a}) <d>.(N{b:=(x).Ax x a}) e' (x).Ax x a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6210 |
using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6211 |
also have "\<dots> = Cut <e'>.AndR <c>.(M{b:=(x).Ax x a}) <d>.(N{b:=(x).Ax x a}) e' (x).Ax x a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6212 |
using new by (simp add: fresh_fun_simp_AndR fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6213 |
also have "\<dots> \<longrightarrow>\<^isub>a* (AndR <c>.(M{b:=(x).Ax x a}) <d>.(N{b:=(x).Ax x a}) e')[e'\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6214 |
using new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6215 |
apply(rule_tac a_starI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6216 |
apply(rule a_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6217 |
apply(rule better_LAxR_intro) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6218 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6219 |
apply(simp_all add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6220 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6221 |
also have "\<dots> = AndR <c>.(M{b:=(x).Ax x a}) <d>.(N{b:=(x).Ax x a}) a" using fs new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6222 |
by (auto simp add: fresh_prod fresh_atm subst_fresh crename_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6223 |
also have "\<dots> \<longrightarrow>\<^isub>a* AndR <c>.(M[b\<turnstile>c>a]) <d>.(N[b\<turnstile>c>a]) a" using ih1 ih2 by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6224 |
also have "\<dots> = (AndR <c>.M <d>.N e)[b\<turnstile>c>a]" using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6225 |
finally show "(AndR <c>.M <d>.N e){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (AndR <c>.M <d>.N e)[b\<turnstile>c>a]" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6226 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6227 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6228 |
assume neq: "e\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6229 |
have "(AndR <c>.M <d>.N e){b:=(x).Ax x a} = AndR <c>.(M{b:=(x).Ax x a}) <d>.(N{b:=(x).Ax x a}) e" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6230 |
using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6231 |
also have "\<dots> \<longrightarrow>\<^isub>a* AndR <c>.(M[b\<turnstile>c>a]) <d>.(N[b\<turnstile>c>a]) e" using ih1 ih2 by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6232 |
finally show "(AndR <c>.M <d>.N e){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (AndR <c>.M <d>.N e)[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6233 |
using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6234 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6235 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6236 |
case (AndL1 u M v b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6237 |
have fs: "u\<sharp>b" "u\<sharp>a" "u\<sharp>x" "u\<sharp>v" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6238 |
have ih: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6239 |
have "(AndL1 (u).M v){b:=(x).Ax x a} = AndL1 (u).(M{b:=(x).Ax x a}) v" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6240 |
also have "\<dots> \<longrightarrow>\<^isub>a* AndL1 (u).(M[b\<turnstile>c>a]) v" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6241 |
finally show "(AndL1 (u).M v){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (AndL1 (u).M v)[b\<turnstile>c>a]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6242 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6243 |
case (AndL2 u M v b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6244 |
have fs: "u\<sharp>b" "u\<sharp>a" "u\<sharp>x" "u\<sharp>v" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6245 |
have ih: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6246 |
have "(AndL2 (u).M v){b:=(x).Ax x a} = AndL2 (u).(M{b:=(x).Ax x a}) v" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6247 |
also have "\<dots> \<longrightarrow>\<^isub>a* AndL2 (u).(M[b\<turnstile>c>a]) v" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6248 |
finally show "(AndL2 (u).M v){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (AndL2 (u).M v)[b\<turnstile>c>a]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6249 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6250 |
case (OrR1 c M d b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6251 |
have fs: "c\<sharp>b" "c\<sharp>a" "c\<sharp>x" "c\<sharp>d" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6252 |
have ih: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6253 |
show "(OrR1 <c>.M d){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (OrR1 <c>.M d)[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6254 |
proof(cases "d=b") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6255 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6256 |
assume eq: "d=b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6257 |
obtain a'::"coname" where new: "a'\<sharp>(Ax x a,M{b:=(x).Ax x a},c,x,a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6258 |
by (rule exists_fresh(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6259 |
have "(OrR1 <c>.M d){b:=(x).Ax x a} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6260 |
fresh_fun (\<lambda>a'. Cut <a'>.OrR1 <c>.M{b:=(x).Ax x a} a' (x).Ax x a)" using fs eq by (simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6261 |
also have "\<dots> = Cut <a'>.OrR1 <c>.M{b:=(x).Ax x a} a' (x).Ax x a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6262 |
using new by (simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6263 |
also have "\<dots> \<longrightarrow>\<^isub>a* (OrR1 <c>.M{b:=(x).Ax x a} a')[a'\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6264 |
using new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6265 |
apply(rule_tac a_starI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6266 |
apply(rule a_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6267 |
apply(rule better_LAxR_intro) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6268 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6269 |
apply(simp_all add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6270 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6271 |
also have "\<dots> = OrR1 <c>.M{b:=(x).Ax x a} a" using fs new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6272 |
by (auto simp add: fresh_prod fresh_atm crename_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6273 |
also have "\<dots> \<longrightarrow>\<^isub>a* OrR1 <c>.(M[b\<turnstile>c>a]) a" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6274 |
also have "\<dots> = (OrR1 <c>.M d)[b\<turnstile>c>a]" using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6275 |
finally show "(OrR1 <c>.M d){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (OrR1 <c>.M d)[b\<turnstile>c>a]" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6276 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6277 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6278 |
assume neq: "d\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6279 |
have "(OrR1 <c>.M d){b:=(x).Ax x a} = OrR1 <c>.(M{b:=(x).Ax x a}) d" using fs neq by (simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6280 |
also have "\<dots> \<longrightarrow>\<^isub>a* OrR1 <c>.(M[b\<turnstile>c>a]) d" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6281 |
finally show "(OrR1 <c>.M d){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (OrR1 <c>.M d)[b\<turnstile>c>a]" using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6282 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6283 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6284 |
case (OrR2 c M d b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6285 |
have fs: "c\<sharp>b" "c\<sharp>a" "c\<sharp>x" "c\<sharp>d" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6286 |
have ih: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6287 |
show "(OrR2 <c>.M d){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (OrR2 <c>.M d)[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6288 |
proof(cases "d=b") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6289 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6290 |
assume eq: "d=b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6291 |
obtain a'::"coname" where new: "a'\<sharp>(Ax x a,M{b:=(x).Ax x a},c,x,a)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6292 |
by (rule exists_fresh(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6293 |
have "(OrR2 <c>.M d){b:=(x).Ax x a} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6294 |
fresh_fun (\<lambda>a'. Cut <a'>.OrR2 <c>.M{b:=(x).Ax x a} a' (x).Ax x a)" using fs eq by (simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6295 |
also have "\<dots> = Cut <a'>.OrR2 <c>.M{b:=(x).Ax x a} a' (x).Ax x a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6296 |
using new by (simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6297 |
also have "\<dots> \<longrightarrow>\<^isub>a* (OrR2 <c>.M{b:=(x).Ax x a} a')[a'\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6298 |
using new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6299 |
apply(rule_tac a_starI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6300 |
apply(rule a_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6301 |
apply(rule better_LAxR_intro) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6302 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6303 |
apply(simp_all add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6304 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6305 |
also have "\<dots> = OrR2 <c>.M{b:=(x).Ax x a} a" using fs new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6306 |
by (auto simp add: fresh_prod fresh_atm crename_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6307 |
also have "\<dots> \<longrightarrow>\<^isub>a* OrR2 <c>.(M[b\<turnstile>c>a]) a" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6308 |
also have "\<dots> = (OrR2 <c>.M d)[b\<turnstile>c>a]" using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6309 |
finally show "(OrR2 <c>.M d){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (OrR2 <c>.M d)[b\<turnstile>c>a]" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6310 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6311 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6312 |
assume neq: "d\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6313 |
have "(OrR2 <c>.M d){b:=(x).Ax x a} = OrR2 <c>.(M{b:=(x).Ax x a}) d" using fs neq by (simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6314 |
also have "\<dots> \<longrightarrow>\<^isub>a* OrR2 <c>.(M[b\<turnstile>c>a]) d" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6315 |
finally show "(OrR2 <c>.M d){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (OrR2 <c>.M d)[b\<turnstile>c>a]" using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6316 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6317 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6318 |
case (OrL u M v N z b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6319 |
have fs: "u\<sharp>b" "u\<sharp>a" "u\<sharp>x" "v\<sharp>b" "v\<sharp>a" "v\<sharp>x" "v\<noteq>u" "u\<sharp>N" "u\<sharp>z" "v\<sharp>M" "v\<sharp>z" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6320 |
have ih1: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6321 |
have ih2: "N{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* N[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6322 |
have "(OrL (u).M (v).N z){b:=(x).Ax x a} = OrL (u).(M{b:=(x).Ax x a}) (v).(N{b:=(x).Ax x a}) z" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6323 |
using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6324 |
also have "\<dots> \<longrightarrow>\<^isub>a* OrL (u).(M[b\<turnstile>c>a]) (v).(N[b\<turnstile>c>a]) z" using ih1 ih2 by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6325 |
finally show "(OrL (u).M (v).N z){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (OrL (u).M (v).N z)[b\<turnstile>c>a]" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6326 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6327 |
case (ImpR z c M d b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6328 |
have fs: "z\<sharp>b" "z\<sharp>a" "z\<sharp>x" "c\<sharp>b" "c\<sharp>a" "c\<sharp>x" "z\<sharp>d" "c\<sharp>d" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6329 |
have ih: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6330 |
show "(ImpR (z).<c>.M d){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (ImpR (z).<c>.M d)[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6331 |
proof(cases "b=d") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6332 |
case True |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6333 |
assume eq: "b=d" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6334 |
obtain a'::"coname" where new: "a'\<sharp>(Ax x a,M{b:=(x).Ax x a},x,a,c)" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6335 |
by (rule exists_fresh(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6336 |
have "(ImpR (z).<c>.M d){b:=(x).Ax x a} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6337 |
fresh_fun (\<lambda>a'. Cut <a'>.ImpR z.<c>.M{b:=(x).Ax x a} a' (x).Ax x a)" using fs eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6338 |
also have "\<dots> = Cut <a'>.ImpR z.<c>.M{b:=(x).Ax x a} a' (x).Ax x a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6339 |
using new by (simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6340 |
also have "\<dots> \<longrightarrow>\<^isub>a* (ImpR z.<c>.M{b:=(x).Ax x a} a')[a'\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6341 |
using new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6342 |
apply(rule_tac a_starI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6343 |
apply(rule a_redu.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6344 |
apply(rule better_LAxR_intro) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6345 |
apply(rule fic.intros) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6346 |
apply(simp_all add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6347 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6348 |
also have "\<dots> = ImpR z.<c>.M{b:=(x).Ax x a} a" using fs new |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6349 |
by (auto simp add: fresh_prod crename_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6350 |
also have "\<dots> \<longrightarrow>\<^isub>a* ImpR z.<c>.(M[b\<turnstile>c>a]) a" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6351 |
also have "\<dots> = (ImpR z.<c>.M b)[b\<turnstile>c>a]" using eq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6352 |
finally show "(ImpR (z).<c>.M d){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (ImpR (z).<c>.M d)[b\<turnstile>c>a]" using eq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6353 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6354 |
case False |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6355 |
assume neq: "b\<noteq>d" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6356 |
have "(ImpR (z).<c>.M d){b:=(x).Ax x a} = ImpR (z).<c>.(M{b:=(x).Ax x a}) d" using fs neq by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6357 |
also have "\<dots> \<longrightarrow>\<^isub>a* ImpR (z).<c>.(M[b\<turnstile>c>a]) d" using ih by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6358 |
finally show "(ImpR (z).<c>.M d){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (ImpR (z).<c>.M d)[b\<turnstile>c>a]" using neq fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6359 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6360 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6361 |
case (ImpL c M u N v b a x) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6362 |
have fs: "c\<sharp>b" "c\<sharp>a" "c\<sharp>x" "u\<sharp>b" "u\<sharp>a" "u\<sharp>x" "c\<sharp>N" "c\<sharp>v" "u\<sharp>M" "u\<sharp>v" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6363 |
have ih1: "M{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* M[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6364 |
have ih2: "N{b:=(x).Ax x a} \<longrightarrow>\<^isub>a* N[b\<turnstile>c>a]" by fact |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6365 |
have "(ImpL <c>.M (u).N v){b:=(x).Ax x a} = ImpL <c>.(M{b:=(x).Ax x a}) (u).(N{b:=(x).Ax x a}) v" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6366 |
using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6367 |
also have "\<dots> \<longrightarrow>\<^isub>a* ImpL <c>.(M[b\<turnstile>c>a]) (u).(N[b\<turnstile>c>a]) v" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6368 |
using ih1 ih2 by (auto intro: a_star_congs) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6369 |
finally show "(ImpL <c>.M (u).N v){b:=(x).Ax x a} \<longrightarrow>\<^isub>a* (ImpL <c>.M (u).N v)[b\<turnstile>c>a]" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6370 |
using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6371 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6372 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6373 |
text {* substitution lemmas *} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6374 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6375 |
lemma not_Ax1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6376 |
shows "\<not>(b\<sharp>M) \<Longrightarrow> M{b:=(y).Q} \<noteq> Ax x a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6377 |
apply(nominal_induct M avoiding: b y Q x a rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6378 |
apply(auto simp add: fresh_atm abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6379 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname:=(y).Q},Q)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6380 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6381 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6382 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6383 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6384 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6385 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname:=(y).Q},Q)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6386 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6387 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6388 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6389 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6390 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6391 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(y).Q},Q,trm2{coname3:=(y).Q},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6392 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6393 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6394 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6395 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6396 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6397 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(y).Q},Q,trm2{coname3:=(y).Q},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6398 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6399 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6400 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6401 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6402 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6403 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm1{coname3:=(y).Q},Q,trm2{coname3:=(y).Q},coname1,coname2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6404 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6405 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6406 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6407 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6408 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6409 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(y).Q},Q,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6410 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6411 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6412 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6413 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6414 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6415 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(y).Q},Q,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6416 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6417 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6418 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6419 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6420 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6421 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(y).Q},Q,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6422 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6423 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6424 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6425 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6426 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6427 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(y).Q},Q,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6428 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6429 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6430 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6431 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6432 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6433 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(y).Q},Q,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6434 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6435 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6436 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6437 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh abs_supp fin_supp fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6438 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6439 |
apply(subgoal_tac "\<exists>x'::coname. x'\<sharp>(trm{coname2:=(y).Q},Q,coname1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6440 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6441 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6442 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6443 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh abs_supp fin_supp fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6444 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6445 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6446 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6447 |
lemma not_Ax2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6448 |
shows "\<not>(x\<sharp>M) \<Longrightarrow> M{x:=<b>.Q} \<noteq> Ax y a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6449 |
apply(nominal_induct M avoiding: b y Q x a rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6450 |
apply(auto simp add: fresh_atm abs_fresh abs_supp fin_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6451 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<b>.Q},Q)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6452 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6453 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6454 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6455 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6456 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6457 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<b>.Q},Q)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6458 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6459 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6460 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6461 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6462 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6463 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<b>.Q},Q,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6464 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6465 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6466 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6467 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6468 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6469 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<b>.Q},Q,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6470 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6471 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6472 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6473 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6474 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6475 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<b>.Q},Q,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6476 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6477 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6478 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6479 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6480 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6481 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm{x:=<b>.Q},Q,name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6482 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6483 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6484 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6485 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6486 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6487 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{x:=<b>.Q},Q,trm2{x:=<b>.Q},name1,name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6488 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6489 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6490 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6491 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6492 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6493 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{x:=<b>.Q},Q,trm2{x:=<b>.Q},name1,name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6494 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6495 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6496 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6497 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6498 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6499 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{x:=<b>.Q},Q,trm2{x:=<b>.Q},name1,name2)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6500 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6501 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6502 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6503 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6504 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6505 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<b>.Q},Q,trm2{name2:=<b>.Q},name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6506 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6507 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6508 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6509 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6510 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6511 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<b>.Q},Q,trm2{name2:=<b>.Q},name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6512 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6513 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6514 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6515 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6516 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6517 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(trm1{name2:=<b>.Q},Q,trm2{name2:=<b>.Q},name1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6518 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6519 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6520 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6521 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6522 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6523 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6524 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6525 |
lemma interesting_subst1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6526 |
assumes a: "x\<noteq>y" "x\<sharp>P" "y\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6527 |
shows "N{y:=<c>.P}{x:=<c>.P} = N{x:=<c>.Ax y c}{y:=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6528 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6529 |
proof(nominal_induct N avoiding: x y c P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6530 |
case Ax |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6531 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6532 |
by (auto simp add: abs_fresh fresh_atm forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6533 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6534 |
case (Cut d M u M' x' y' c P) |
41893 | 6535 |
with assms show ?case |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6536 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6537 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6538 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6539 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6540 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6541 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6542 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6543 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6544 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6545 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6546 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6547 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6548 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6549 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6550 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6551 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6552 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6553 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6554 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6555 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6556 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6557 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6558 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6559 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6560 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6561 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6562 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6563 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6564 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6565 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6566 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6567 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6568 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6569 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6570 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6571 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6572 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6573 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6574 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6575 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6576 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6577 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6578 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6579 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6580 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6581 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6582 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6583 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6584 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6585 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6586 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6587 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6588 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6589 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6590 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6591 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6592 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6593 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6594 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6595 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6596 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6597 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6598 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6599 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6600 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6601 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6602 |
apply(case_tac "y'\<sharp>M") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6603 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6604 |
apply(simp add: not_Ax2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6605 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6606 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6607 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6608 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6609 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6610 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6611 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6612 |
apply(case_tac "x'\<sharp>M") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6613 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6614 |
apply(simp add: not_Ax2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6615 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6616 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6617 |
case NotR |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6618 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6619 |
by (auto simp add: abs_fresh fresh_atm forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6620 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6621 |
case (NotL d M u) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6622 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6623 |
apply (auto simp add: abs_fresh fresh_atm forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6624 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,M{y:=<c>.P},M{x:=<c>.Ax y c}{y:=<c>.P},y,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6625 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6626 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6627 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6628 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6629 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6630 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6631 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6632 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6633 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6634 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6635 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6636 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,M{x:=<c>.Ax y c},M{x:=<c>.Ax y c}{y:=<c>.P},Ax y c,y,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6637 |
apply(erule exE, simp only: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6638 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6639 |
apply(simp only: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6640 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6641 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6642 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6643 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6644 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6645 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6646 |
apply(simp add: trm.inject alpha forget subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6647 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6648 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6649 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6650 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6651 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6652 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6653 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6654 |
case (AndR d1 M d2 M' d3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6655 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6656 |
by (auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6657 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6658 |
case (AndL1 u M d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6659 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6660 |
apply(auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6661 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,M{y:=<c>.P},M{x:=<c>.Ax y c}{y:=<c>.P},u,y,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6662 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6663 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6664 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6665 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6666 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6667 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6668 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6669 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6670 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6671 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6672 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6673 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,Ax y c,M{x:=<c>.Ax y c},M{x:=<c>.Ax y c}{y:=<c>.P},u,y,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6674 |
apply(erule exE, simp only: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6675 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6676 |
apply(simp only: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6677 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6678 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6679 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6680 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6681 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6682 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6683 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6684 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6685 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6686 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6687 |
case (AndL2 u M d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6688 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6689 |
apply(auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6690 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,M{y:=<c>.P},M{x:=<c>.Ax y c}{y:=<c>.P},u,y,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6691 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6692 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6693 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6694 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6695 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6696 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6697 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6698 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6699 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6700 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6701 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6702 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,Ax y c,M{x:=<c>.Ax y c},M{x:=<c>.Ax y c}{y:=<c>.P},u,y,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6703 |
apply(erule exE, simp only: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6704 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6705 |
apply(simp only: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6706 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6707 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6708 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6709 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6710 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6711 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6712 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6713 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6714 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6715 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6716 |
case OrR1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6717 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6718 |
by (auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6719 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6720 |
case OrR2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6721 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6722 |
by (auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6723 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6724 |
case (OrL x1 M x2 M' x3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6725 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6726 |
apply(auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6727 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,M{y:=<c>.P},M{x:=<c>.Ax y c}{y:=<c>.P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6728 |
M'{y:=<c>.P},M'{x:=<c>.Ax y c}{y:=<c>.P},x1,x2,x3,y,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6729 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6730 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6731 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6732 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6733 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6734 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6735 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6736 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6737 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6738 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6739 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6740 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6741 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6742 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6743 |
apply(force) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6744 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6745 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6746 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,Ax y c,M{x:=<c>.Ax y c},M{x:=<c>.Ax y c}{y:=<c>.P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6747 |
M'{x:=<c>.Ax y c},M'{x:=<c>.Ax y c}{y:=<c>.P},x1,x2,x3,y,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6748 |
apply(erule exE, simp only: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6749 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6750 |
apply(simp only: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6751 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6752 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6753 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6754 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6755 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6756 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6757 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6758 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6759 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6760 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6761 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6762 |
apply(force) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6763 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6764 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6765 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6766 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6767 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6768 |
case ImpR |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6769 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6770 |
by (auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6771 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6772 |
case (ImpL a M x1 M' x2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6773 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6774 |
apply(auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6775 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,M{x2:=<c>.P},M{x:=<c>.Ax x2 c}{x2:=<c>.P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6776 |
M'{x2:=<c>.P},M'{x:=<c>.Ax x2 c}{x2:=<c>.P},x1,y,x)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6777 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6778 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6779 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6780 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6781 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6782 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6783 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6784 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6785 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6786 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6787 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6788 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6789 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6790 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6791 |
apply(force) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6792 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6793 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,Ax y c,M{x2:=<c>.Ax y c},M{x2:=<c>.Ax y c}{y:=<c>.P}, |
48567
3c4d7ff75f01
tuned proofs -- avoid odd situations of polymorphic Frees in goal state;
wenzelm
parents:
41893
diff
changeset
|
6794 |
M'{x2:=<c>.Ax y c},M'{x2:=<c>.Ax y c}{y:=<c>.P},x1,x2,y,x)") |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6795 |
apply(erule exE, simp only: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6796 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6797 |
apply(simp only: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6798 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6799 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6800 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6801 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6802 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6803 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6804 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6805 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6806 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6807 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6808 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6809 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6810 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6811 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6812 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6813 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6814 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6815 |
lemma interesting_subst1': |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6816 |
assumes a: "x\<noteq>y" "x\<sharp>P" "y\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6817 |
shows "N{y:=<c>.P}{x:=<c>.P} = N{x:=<a>.Ax y a}{y:=<c>.P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6818 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6819 |
show ?thesis |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6820 |
proof (cases "c=a") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6821 |
case True then show ?thesis using a by (simp add: interesting_subst1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6822 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6823 |
case False then show ?thesis using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6824 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6825 |
apply(subgoal_tac "N{x:=<a>.Ax y a} = N{x:=<c>.([(c,a)]\<bullet>Ax y a)}") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6826 |
apply(simp add: interesting_subst1 calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6827 |
apply(rule subst_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6828 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6829 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6830 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6831 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6832 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6833 |
lemma interesting_subst2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6834 |
assumes a: "a\<noteq>b" "a\<sharp>P" "b\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6835 |
shows "N{a:=(y).P}{b:=(y).P} = N{b:=(y).Ax y a}{a:=(y).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6836 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6837 |
proof(nominal_induct N avoiding: a b y P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6838 |
case Ax |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6839 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6840 |
by (auto simp add: abs_fresh fresh_atm forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6841 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6842 |
case (Cut d M u M' x' y' c P) |
41893 | 6843 |
with assms show ?case |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6844 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6845 |
apply(auto simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6846 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6847 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6848 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6849 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6850 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6851 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6852 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6853 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6854 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6855 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6856 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6857 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6858 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6859 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6860 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6861 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6862 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6863 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6864 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6865 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6866 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6867 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6868 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6869 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6870 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6871 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6872 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6873 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6874 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6875 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6876 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6877 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6878 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6879 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6880 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6881 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6882 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6883 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6884 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6885 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6886 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6887 |
apply(rule impI) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6888 |
apply(simp add: fresh_atm trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6889 |
apply(case_tac "x'\<sharp>M'") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6890 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6891 |
apply(simp add: not_Ax1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6892 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6893 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6894 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6895 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6896 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6897 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6898 |
apply(case_tac "y'\<sharp>M'") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6899 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6900 |
apply(simp add: not_Ax1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6901 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6902 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6903 |
case NotL |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6904 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6905 |
by (auto simp add: abs_fresh fresh_atm forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6906 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6907 |
case (NotR u M d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6908 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6909 |
apply (auto simp add: abs_fresh fresh_atm forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6910 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(b,P,M{d:=(y).P},M{b:=(y).Ax y d}{d:=(y).P},u,y)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6911 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6912 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6913 |
apply(simp add: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6914 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6915 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6916 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6917 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6918 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6919 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6920 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6921 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6922 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(P,M{d:=(y).Ax y a},M{d:=(y).Ax y a}{a:=(y).P},Ax y a,y,d)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6923 |
apply(erule exE, simp only: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6924 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6925 |
apply(simp only: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6926 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6927 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6928 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6929 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6930 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6931 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6932 |
apply(simp add: trm.inject alpha forget subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6933 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6934 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6935 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6936 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6937 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6938 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6939 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6940 |
case (AndR d1 M d2 M' d3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6941 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6942 |
apply(auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6943 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(P,M{d3:=(y).P},M{b:=(y).Ax y d3}{d3:=(y).P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6944 |
M'{d3:=(y).P},M'{b:=(y).Ax y d3}{d3:=(y).P},d1,d2,d3,b,y)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6945 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6946 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6947 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6948 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6949 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6950 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6951 |
apply(simp add: abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6952 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6953 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6954 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6955 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6956 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6957 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6958 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6959 |
apply(force) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6960 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6961 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6962 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(P,Ax y a,M{d3:=(y).Ax y a},M{d3:=(y).Ax y a}{a:=(y).P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6963 |
M'{d3:=(y).Ax y a},M'{d3:=(y).Ax y a}{a:=(y).P},d1,d2,d3,y,b)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6964 |
apply(erule exE, simp only: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6965 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6966 |
apply(simp only: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6967 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6968 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6969 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6970 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6971 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6972 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6973 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6974 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6975 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6976 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6977 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6978 |
apply(force) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6979 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6980 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6981 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6982 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6983 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6984 |
case (AndL1 u M d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6985 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6986 |
by (auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6987 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6988 |
case (AndL2 u M d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6989 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6990 |
by (auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6991 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6992 |
case (OrR1 d M e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6993 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6994 |
apply (auto simp add: abs_fresh fresh_atm forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6995 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(b,P,M{e:=(y).P},M{b:=(y).Ax y e}{e:=(y).P},d,e)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6996 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6997 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6998 |
apply(simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
6999 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7000 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7001 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7002 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7003 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7004 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7005 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7006 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7007 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(b,P,Ax y a,M{e:=(y).Ax y a},M{e:=(y).Ax y a}{a:=(y).P},d,e)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7008 |
apply(erule exE, simp only: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7009 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7010 |
apply(simp only: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7011 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7012 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7013 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7014 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7015 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7016 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7017 |
apply(simp add: trm.inject alpha forget subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7018 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7019 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7020 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7021 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7022 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7023 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7024 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7025 |
case (OrR2 d M e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7026 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7027 |
apply (auto simp add: abs_fresh fresh_atm forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7028 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(b,P,M{e:=(y).P},M{b:=(y).Ax y e}{e:=(y).P},d,e)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7029 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7030 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7031 |
apply(simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7032 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7033 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7034 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7035 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7036 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7037 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7038 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7039 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7040 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(b,P,Ax y a,M{e:=(y).Ax y a},M{e:=(y).Ax y a}{a:=(y).P},d,e)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7041 |
apply(erule exE, simp only: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7042 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7043 |
apply(simp only: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7044 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7045 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7046 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7047 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7048 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7049 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7050 |
apply(simp add: trm.inject alpha forget subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7051 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7052 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7053 |
apply(simp add: abs_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7054 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7055 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7056 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7057 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7058 |
case (OrL x1 M x2 M' x3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7059 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7060 |
by(auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7061 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7062 |
case ImpL |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7063 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7064 |
by (auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7065 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7066 |
case (ImpR u e M d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7067 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7068 |
apply(auto simp add: abs_fresh fresh_atm forget trm.inject subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7069 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(b,e,d,P,M{d:=(y).P},M{b:=(y).Ax y d}{d:=(y).P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7070 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7071 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7072 |
apply(simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7073 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7074 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7075 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7076 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7077 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7078 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7079 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7080 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7081 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(e,d,P,Ax y a,M{d:=(y).Ax y a},M{d:=(y).Ax y a}{a:=(y).P})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7082 |
apply(erule exE, simp only: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7083 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7084 |
apply(simp only: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7085 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7086 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7087 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7088 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7089 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7090 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7091 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7092 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7093 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7094 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7095 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7096 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7097 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7098 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7099 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7100 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7101 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7102 |
lemma interesting_subst2': |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7103 |
assumes a: "a\<noteq>b" "a\<sharp>P" "b\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7104 |
shows "N{a:=(y).P}{b:=(y).P} = N{b:=(z).Ax z a}{a:=(y).P}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7105 |
proof - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7106 |
show ?thesis |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7107 |
proof (cases "z=y") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7108 |
case True then show ?thesis using a by (simp add: interesting_subst2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7109 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7110 |
case False then show ?thesis using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7111 |
apply - |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7112 |
apply(subgoal_tac "N{b:=(z).Ax z a} = N{b:=(y).([(y,z)]\<bullet>Ax z a)}") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7113 |
apply(simp add: interesting_subst2 calc_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7114 |
apply(rule subst_rename) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7115 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7116 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7117 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7118 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7119 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7120 |
lemma subst_subst1: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7121 |
assumes a: "a\<sharp>(Q,b)" "x\<sharp>(y,P,Q)" "b\<sharp>Q" "y\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7122 |
shows "M{x:=<a>.P}{b:=(y).Q} = M{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7123 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7124 |
proof(nominal_induct M avoiding: x a P b y Q rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7125 |
case (Ax z c) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7126 |
have fs: "a\<sharp>(Q,b)" "x\<sharp>(y,P,Q)" "b\<sharp>Q" "y\<sharp>P" by fact+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7127 |
{ assume asm: "z=x \<and> c=b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7128 |
have "(Ax x b){x:=<a>.P}{b:=(y).Q} = (Cut <a>.P (x).Ax x b){b:=(y).Q}" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7129 |
also have "\<dots> = Cut <a>.(P{b:=(y).Q}) (y).Q" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7130 |
using fs by (simp_all add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7131 |
also have "\<dots> = Cut <a>.(P{b:=(y).Q}) (y).(Q{x:=<a>.(P{b:=(y).Q})})" using fs by (simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7132 |
also have "\<dots> = (Cut <b>.Ax x b (y).Q){x:=<a>.(P{b:=(y).Q})}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7133 |
using fs asm by (auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7134 |
also have "\<dots> = (Ax x b){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" using fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7135 |
finally have "(Ax z c){x:=<a>.P}{b:=(y).Q} = (Ax z c){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7136 |
using asm by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7137 |
} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7138 |
moreover |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7139 |
{ assume asm: "z\<noteq>x \<and> c=b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7140 |
have "(Ax z c){x:=<a>.P}{b:=(y).Q} = (Ax z c){b:=(y).Q}" using asm by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7141 |
also have "\<dots> = Cut <b>.Ax z c (y).Q" using fs asm by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7142 |
also have "\<dots> = Cut <b>.(Ax z c{x:=<a>.(P{b:=(y).Q})}) (y).(Q{x:=<a>.(P{b:=(y).Q})})" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7143 |
using fs asm by (simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7144 |
also have "\<dots> = (Cut <b>.Ax z c (y).Q){x:=<a>.(P{b:=(y).Q})}" using asm fs |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7145 |
by (auto simp add: trm.inject subst_fresh fresh_prod fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7146 |
also have "\<dots> = (Ax z c){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" using asm fs by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7147 |
finally have "(Ax z c){x:=<a>.P}{b:=(y).Q} = (Ax z c){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7148 |
} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7149 |
moreover |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7150 |
{ assume asm: "z=x \<and> c\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7151 |
have "(Ax z c){x:=<a>.P}{b:=(y).Q} = (Cut <a>.P (x).Ax z c){b:=(y).Q}" using fs asm by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7152 |
also have "\<dots> = Cut <a>.(P{b:=(y).Q}) (x).Ax z c" using fs asm by (auto simp add: trm.inject abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7153 |
also have "\<dots> = (Ax z c){x:=<a>.(P{b:=(y).Q})}" using fs asm by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7154 |
also have "\<dots> = (Ax z c){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" using asm by auto |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7155 |
finally have "(Ax z c){x:=<a>.P}{b:=(y).Q} = (Ax z c){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7156 |
} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7157 |
moreover |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7158 |
{ assume asm: "z\<noteq>x \<and> c\<noteq>b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7159 |
have "(Ax z c){x:=<a>.P}{b:=(y).Q} = (Ax z c){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" using asm by auto |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7160 |
} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7161 |
ultimately show ?case by blast |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7162 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7163 |
case (Cut c M z N) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7164 |
{ assume asm: "M = Ax x c \<and> N = Ax z b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7165 |
have "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} = (Cut <a>.P (z).(N{x:=<a>.P})){b:=(y).Q}" |
41893 | 7166 |
using Cut asm by simp |
7167 |
also have "\<dots> = (Cut <a>.P (z).N){b:=(y).Q}" using Cut asm by (simp add: fresh_atm) |
|
7168 |
also have "\<dots> = (Cut <a>.(P{b:=(y).Q}) (y).Q)" using Cut asm by (auto simp add: fresh_prod fresh_atm) |
|
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7169 |
finally have eq1: "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} = (Cut <a>.(P{b:=(y).Q}) (y).Q)" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7170 |
have "(Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})} = (Cut <c>.M (y).Q){x:=<a>.(P{b:=(y).Q})}" |
41893 | 7171 |
using Cut asm by (simp add: fresh_atm) |
7172 |
also have "\<dots> = Cut <a>.(P{b:=(y).Q}) (y).(Q{x:=<a>.(P{b:=(y).Q})})" using Cut asm |
|
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7173 |
by (auto simp add: fresh_prod fresh_atm subst_fresh) |
41893 | 7174 |
also have "\<dots> = Cut <a>.(P{b:=(y).Q}) (y).Q" using Cut asm by (simp add: forget) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7175 |
finally have eq2: "(Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})} = Cut <a>.(P{b:=(y).Q}) (y).Q" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7176 |
by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7177 |
have "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} = (Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7178 |
using eq1 eq2 by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7179 |
} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7180 |
moreover |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7181 |
{ assume asm: "M \<noteq> Ax x c \<and> N = Ax z b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7182 |
have neq: "M{b:=(y).Q} \<noteq> Ax x c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7183 |
proof (cases "b\<sharp>M") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7184 |
case True then show ?thesis using asm by (simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7185 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7186 |
case False then show ?thesis by (simp add: not_Ax1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7187 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7188 |
have "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} = (Cut <c>.(M{x:=<a>.P}) (z).(N{x:=<a>.P})){b:=(y).Q}" |
41893 | 7189 |
using Cut asm by simp |
7190 |
also have "\<dots> = (Cut <c>.(M{x:=<a>.P}) (z).N){b:=(y).Q}" using Cut asm by (simp add: fresh_atm) |
|
7191 |
also have "\<dots> = Cut <c>.(M{x:=<a>.P}{b:=(y).Q}) (y).Q" using Cut asm by (simp add: abs_fresh) |
|
7192 |
also have "\<dots> = Cut <c>.(M{b:=(y).Q}{x:=<a>.P{b:=(y).Q}}) (y).Q" using Cut asm by simp |
|
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7193 |
finally |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7194 |
have eq1: "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} = Cut <c>.(M{b:=(y).Q}{x:=<a>.P{b:=(y).Q}}) (y).Q" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7195 |
by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7196 |
have "(Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})} = |
41893 | 7197 |
(Cut <c>.(M{b:=(y).Q}) (y).Q){x:=<a>.(P{b:=(y).Q})}" using Cut asm by simp |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7198 |
also have "\<dots> = Cut <c>.(M{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}) (y).(Q{x:=<a>.(P{b:=(y).Q})})" |
41893 | 7199 |
using Cut asm neq by (auto simp add: fresh_prod fresh_atm subst_fresh abs_fresh) |
7200 |
also have "\<dots> = Cut <c>.(M{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}) (y).Q" using Cut asm by (simp add: forget) |
|
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7201 |
finally have eq2: "(Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7202 |
= Cut <c>.(M{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}) (y).Q" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7203 |
have "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} = (Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7204 |
using eq1 eq2 by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7205 |
} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7206 |
moreover |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7207 |
{ assume asm: "M = Ax x c \<and> N \<noteq> Ax z b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7208 |
have neq: "N{x:=<a>.P} \<noteq> Ax z b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7209 |
proof (cases "x\<sharp>N") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7210 |
case True then show ?thesis using asm by (simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7211 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7212 |
case False then show ?thesis by (simp add: not_Ax2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7213 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7214 |
have "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} = (Cut <a>.P (z).(N{x:=<a>.P})){b:=(y).Q}" |
41893 | 7215 |
using Cut asm by simp |
7216 |
also have "\<dots> = Cut <a>.(P{b:=(y).Q}) (z).(N{x:=<a>.P}{b:=(y).Q})" using Cut asm neq |
|
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7217 |
by (simp add: abs_fresh) |
41893 | 7218 |
also have "\<dots> = Cut <a>.(P{b:=(y).Q}) (z).(N{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})})" using Cut asm by simp |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7219 |
finally have eq1: "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7220 |
= Cut <a>.(P{b:=(y).Q}) (z).(N{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})})" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7221 |
have "(Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7222 |
= (Cut <c>.(M{b:=(y).Q}) (z).(N{b:=(y).Q})){x:=<a>.(P{b:=(y).Q})}" |
41893 | 7223 |
using Cut asm by auto |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7224 |
also have "\<dots> = (Cut <c>.M (z).(N{b:=(y).Q})){x:=<a>.(P{b:=(y).Q})}" |
41893 | 7225 |
using Cut asm by (auto simp add: fresh_atm) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7226 |
also have "\<dots> = Cut <a>.(P{b:=(y).Q}) (z).(N{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})})" |
41893 | 7227 |
using Cut asm by (simp add: fresh_prod fresh_atm subst_fresh) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7228 |
finally |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7229 |
have eq2: "(Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7230 |
= Cut <a>.(P{b:=(y).Q}) (z).(N{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})})" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7231 |
have "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} = (Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7232 |
using eq1 eq2 by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7233 |
} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7234 |
moreover |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7235 |
{ assume asm: "M \<noteq> Ax x c \<and> N \<noteq> Ax z b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7236 |
have neq1: "N{x:=<a>.P} \<noteq> Ax z b" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7237 |
proof (cases "x\<sharp>N") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7238 |
case True then show ?thesis using asm by (simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7239 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7240 |
case False then show ?thesis by (simp add: not_Ax2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7241 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7242 |
have neq2: "M{b:=(y).Q} \<noteq> Ax x c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7243 |
proof (cases "b\<sharp>M") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7244 |
case True then show ?thesis using asm by (simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7245 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7246 |
case False then show ?thesis by (simp add: not_Ax1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7247 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7248 |
have "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} = (Cut <c>.(M{x:=<a>.P}) (z).(N{x:=<a>.P})){b:=(y).Q}" |
41893 | 7249 |
using Cut asm by simp |
7250 |
also have "\<dots> = Cut <c>.(M{x:=<a>.P}{b:=(y).Q}) (z).(N{x:=<a>.P}{b:=(y).Q})" using Cut asm neq1 |
|
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7251 |
by (simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7252 |
also have "\<dots> = Cut <c>.(M{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}) (z).(N{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})})" |
41893 | 7253 |
using Cut asm by simp |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7254 |
finally have eq1: "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7255 |
= Cut <c>.(M{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}) (z).(N{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})})" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7256 |
have "(Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})} = |
41893 | 7257 |
(Cut <c>.(M{b:=(y).Q}) (z).(N{b:=(y).Q})){x:=<a>.(P{b:=(y).Q})}" using Cut asm neq1 by simp |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7258 |
also have "\<dots> = Cut <c>.(M{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}) (z).(N{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})})" |
41893 | 7259 |
using Cut asm neq2 by (simp add: fresh_prod fresh_atm subst_fresh) |
36277
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7260 |
finally have eq2: "(Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})} = |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7261 |
Cut <c>.(M{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}) (z).(N{b:=(y).Q}{x:=<a>.(P{b:=(y).Q})})" by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7262 |
have "(Cut <c>.M (z).N){x:=<a>.P}{b:=(y).Q} = (Cut <c>.M (z).N){b:=(y).Q}{x:=<a>.(P{b:=(y).Q})}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7263 |
using eq1 eq2 by simp |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7264 |
} |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7265 |
ultimately show ?case by blast |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7266 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7267 |
case (NotR z M c) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7268 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7269 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7270 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(M{c:=(y).Q},M{c:=(y).Q}{x:=<a>.P{c:=(y).Q}},Q,a,P,c,y)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7271 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7272 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7273 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7274 |
apply(simp add: fresh_fun_simp_NotR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7275 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7276 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7277 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7278 |
apply(simp add: fresh_prod fresh_atm subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7279 |
apply(simp add: fresh_prod fresh_atm subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7280 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7281 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7282 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7283 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7284 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7285 |
case (NotL c M z) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7286 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7287 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7288 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,M{x:=<a>.P},P{b:=(y).Q},M{b:=(y).Q}{x:=<a>.P{b:=(y).Q}},y,Q)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7289 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7290 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7291 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7292 |
apply(simp add: fresh_fun_simp_NotL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7293 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7294 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7295 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7296 |
case (AndR c1 M c2 N c3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7297 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7298 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7299 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(Q,M{c3:=(y).Q},M{c3:=(y).Q}{x:=<a>.P{c3:=(y).Q}},c2,c3,a, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7300 |
P{c3:=(y).Q},N{c3:=(y).Q},N{c3:=(y).Q}{x:=<a>.P{c3:=(y).Q}},c1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7301 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7302 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7303 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7304 |
apply(simp add: fresh_fun_simp_AndR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7305 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7306 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7307 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7308 |
apply(simp_all add: fresh_atm abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7309 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7310 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7311 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7312 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7313 |
case (AndL1 z1 M z2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7314 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7315 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7316 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,M{x:=<a>.P},P{b:=(y).Q},z1,y,Q,M{b:=(y).Q}{x:=<a>.P{b:=(y).Q}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7317 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7318 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7319 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7320 |
apply(simp add: fresh_fun_simp_AndL1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7321 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7322 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7323 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7324 |
case (AndL2 z1 M z2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7325 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7326 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7327 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,M{x:=<a>.P},P{b:=(y).Q},z1,y,Q,M{b:=(y).Q}{x:=<a>.P{b:=(y).Q}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7328 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7329 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7330 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7331 |
apply(simp add: fresh_fun_simp_AndL2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7332 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7333 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7334 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7335 |
case (OrL z1 M z2 N z3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7336 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7337 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7338 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,M{x:=<a>.P},M{b:=(y).Q}{x:=<a>.P{b:=(y).Q}},z2,z3,a,y,Q, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7339 |
P{b:=(y).Q},N{x:=<a>.P},N{b:=(y).Q}{x:=<a>.P{b:=(y).Q}},z1)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7340 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7341 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7342 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7343 |
apply(simp add: fresh_fun_simp_OrL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7344 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7345 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7346 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7347 |
apply(simp_all add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7348 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7349 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7350 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7351 |
case (OrR1 c1 M c2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7352 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7353 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7354 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(Q,M{c2:=(y).Q},a,P{c2:=(y).Q},c1, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7355 |
M{c2:=(y).Q}{x:=<a>.P{c2:=(y).Q}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7356 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7357 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7358 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7359 |
apply(simp add: fresh_fun_simp_OrR1 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7360 |
apply(simp_all add: fresh_atm subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7361 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7362 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7363 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7364 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7365 |
case (OrR2 c1 M c2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7366 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7367 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7368 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(Q,M{c2:=(y).Q},a,P{c2:=(y).Q},c1, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7369 |
M{c2:=(y).Q}{x:=<a>.P{c2:=(y).Q}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7370 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7371 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7372 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7373 |
apply(simp add: fresh_fun_simp_OrR2 abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7374 |
apply(simp_all add: fresh_atm subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7375 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7376 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7377 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7378 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7379 |
case (ImpR z c M d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7380 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7381 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7382 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(Q,M{d:=(y).Q},a,P{d:=(y).Q},c, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7383 |
M{d:=(y).Q}{x:=<a>.P{d:=(y).Q}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7384 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7385 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7386 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7387 |
apply(simp add: fresh_fun_simp_ImpR abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7388 |
apply(simp_all add: fresh_atm subst_fresh forget abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7389 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7390 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7391 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7392 |
case (ImpL c M z N u) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7393 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7394 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7395 |
apply(subgoal_tac "\<exists>z'::name. z'\<sharp>(P,P{b:=(y).Q},M{u:=<a>.P},N{u:=<a>.P},y,Q, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7396 |
M{b:=(y).Q}{u:=<a>.P{b:=(y).Q}},N{b:=(y).Q}{u:=<a>.P{b:=(y).Q}},z)") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7397 |
apply(erule exE) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7398 |
apply(simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7399 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7400 |
apply(simp add: fresh_fun_simp_ImpL abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7401 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7402 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7403 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7404 |
apply(simp_all add: fresh_atm subst_fresh forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7405 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7406 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7407 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7408 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7409 |
lemma subst_subst2: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7410 |
assumes a: "a\<sharp>(b,P,N)" "x\<sharp>(y,P,M)" "b\<sharp>(M,N)" "y\<sharp>P" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7411 |
shows "M{a:=(x).N}{y:=<b>.P} = M{y:=<b>.P}{a:=(x).N{y:=<b>.P}}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7412 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7413 |
proof(nominal_induct M avoiding: a x N y b P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7414 |
case (Ax z c) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7415 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7416 |
by (auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7417 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7418 |
case (Cut d M' u M'') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7419 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7420 |
apply(simp add: fresh_atm fresh_prod trm.inject abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7421 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7422 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7423 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7424 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7425 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7426 |
apply(simp add: abs_fresh subst_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7427 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7428 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7429 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7430 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7431 |
apply(case_tac "a\<sharp>M'") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7432 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7433 |
apply(simp add: not_Ax1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7434 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7435 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7436 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7437 |
apply(simp add: abs_fresh subst_fresh fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7438 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7439 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7440 |
apply(case_tac "y\<sharp>M''") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7441 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7442 |
apply(simp add: not_Ax2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7443 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7444 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7445 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7446 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7447 |
apply(simp add: subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7448 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7449 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7450 |
apply(case_tac "y\<sharp>M''") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7451 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7452 |
apply(simp add: not_Ax2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7453 |
apply(case_tac "a\<sharp>M'") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7454 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7455 |
apply(simp add: not_Ax1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7456 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7457 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7458 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7459 |
apply(simp add: subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7460 |
apply(simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7461 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7462 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7463 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7464 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7465 |
apply(simp add: subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7466 |
apply(simp add: subst_fresh abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7467 |
apply(auto)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7468 |
apply(case_tac "y\<sharp>M''") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7469 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7470 |
apply(simp add: not_Ax2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7471 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7472 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7473 |
case (NotR z M' d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7474 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7475 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7476 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(y,P,N,N{y:=<b>.P},M'{d:=(x).N},M'{y:=<b>.P}{d:=(x).N{y:=<b>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7477 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7478 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7479 |
apply(simp add: fresh_fun_simp_NotR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7480 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7481 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7482 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7483 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7484 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7485 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7486 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7487 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7488 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7489 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7490 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7491 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7492 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7493 |
case (NotL d M' z) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7494 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7495 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7496 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(z,y,P,N,N{y:=<b>.P},M'{y:=<b>.P},M'{y:=<b>.P}{a:=(x).N{y:=<b>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7497 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7498 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7499 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7500 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7501 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7502 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7503 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7504 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7505 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7506 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7507 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7508 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7509 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7510 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7511 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7512 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7513 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7514 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7515 |
case (AndR d M' e M'' f) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7516 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7517 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7518 |
apply(subgoal_tac "\<exists>a'::coname. a'\<sharp>(P,b,d,e,N,N{y:=<b>.P},M'{f:=(x).N},M''{f:=(x).N}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7519 |
M'{y:=<b>.P}{f:=(x).N{y:=<b>.P}},M''{y:=<b>.P}{f:=(x).N{y:=<b>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7520 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7521 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7522 |
apply(simp add: fresh_fun_simp_AndR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7523 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7524 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7525 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7526 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7527 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7528 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7529 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7530 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7531 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7532 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7533 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7534 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7535 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7536 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7537 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7538 |
case (AndL1 z M' u) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7539 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7540 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7541 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,b,z,u,x,N,M'{y:=<b>.P},M'{y:=<b>.P}{a:=(x).N{y:=<b>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7542 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7543 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7544 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7545 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7546 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7547 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7548 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7549 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7550 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7551 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7552 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7553 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7554 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7555 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7556 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7557 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7558 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7559 |
case (AndL2 z M' u) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7560 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7561 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7562 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(P,b,z,u,x,N,M'{y:=<b>.P},M'{y:=<b>.P}{a:=(x).N{y:=<b>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7563 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7564 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7565 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7566 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7567 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7568 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7569 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7570 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7571 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7572 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7573 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7574 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7575 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7576 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7577 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7578 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7579 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7580 |
case (OrL u M' v M'' w) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7581 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7582 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7583 |
apply(subgoal_tac "\<exists>z'::name. z'\<sharp>(P,b,u,w,v,N,N{y:=<b>.P},M'{y:=<b>.P},M''{y:=<b>.P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7584 |
M'{y:=<b>.P}{a:=(x).N{y:=<b>.P}},M''{y:=<b>.P}{a:=(x).N{y:=<b>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7585 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7586 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7587 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7588 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7589 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7590 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7591 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7592 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7593 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7594 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7595 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7596 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7597 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7598 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7599 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7600 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7601 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7602 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7603 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7604 |
case (OrR1 e M' f) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7605 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7606 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7607 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(P,b,e,f,x,N,N{y:=<b>.P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7608 |
M'{f:=(x).N},M'{y:=<b>.P}{f:=(x).N{y:=<b>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7609 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7610 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7611 |
apply(simp add: fresh_fun_simp_OrR1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7612 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7613 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7614 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7615 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7616 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7617 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7618 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7619 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7620 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7621 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7622 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7623 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7624 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7625 |
case (OrR2 e M' f) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7626 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7627 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7628 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(P,b,e,f,x,N,N{y:=<b>.P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7629 |
M'{f:=(x).N},M'{y:=<b>.P}{f:=(x).N{y:=<b>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7630 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7631 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7632 |
apply(simp add: fresh_fun_simp_OrR2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7633 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7634 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7635 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7636 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7637 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7638 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7639 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7640 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7641 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7642 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7643 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7644 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7645 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7646 |
case (ImpR x e M' f) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7647 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7648 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7649 |
apply(subgoal_tac "\<exists>c'::coname. c'\<sharp>(P,b,e,f,x,N,N{y:=<b>.P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7650 |
M'{f:=(x).N},M'{y:=<b>.P}{f:=(x).N{y:=<b>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7651 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7652 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7653 |
apply(simp add: fresh_fun_simp_ImpR) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7654 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7655 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7656 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7657 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7658 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7659 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7660 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7661 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7662 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7663 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7664 |
apply(simp add: fresh_atm trm.inject alpha abs_fresh fin_supp abs_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7665 |
apply(rule exists_fresh'(2)[OF fs_coname1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7666 |
apply(simp add: fresh_atm trm.inject alpha abs_fresh fin_supp abs_supp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7667 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7668 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7669 |
case (ImpL e M' v M'' w) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7670 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7671 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7672 |
apply(subgoal_tac "\<exists>z'::name. z'\<sharp>(P,b,e,w,v,N,N{y:=<b>.P},M'{w:=<b>.P},M''{w:=<b>.P}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7673 |
M'{w:=<b>.P}{a:=(x).N{w:=<b>.P}},M''{w:=<b>.P}{a:=(x).N{w:=<b>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7674 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7675 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7676 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7677 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7678 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7679 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7680 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7681 |
apply(simp add: fresh_prod subst_fresh fresh_atm abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7682 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7683 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7684 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7685 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7686 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7687 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7688 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7689 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7690 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7691 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7692 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7693 |
lemma subst_subst3: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7694 |
assumes a: "a\<sharp>(P,N,c)" "c\<sharp>(M,N)" "x\<sharp>(y,P,M)" "y\<sharp>(P,x)" "M\<noteq>Ax y a" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7695 |
shows "N{x:=<a>.M}{y:=<c>.P} = N{y:=<c>.P}{x:=<a>.(M{y:=<c>.P})}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7696 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7697 |
proof(nominal_induct N avoiding: x y a c M P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7698 |
case (Ax z c) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7699 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7700 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7701 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7702 |
case (Cut d M' u M'') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7703 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7704 |
apply(simp add: fresh_atm fresh_prod trm.inject abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7705 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7706 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7707 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7708 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7709 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7710 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7711 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7712 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7713 |
apply(subgoal_tac "P \<noteq> Ax x c") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7714 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7715 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7716 |
apply(clarify) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7717 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7718 |
apply(case_tac "x\<sharp>M'") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7719 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7720 |
apply(simp add: not_Ax2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7721 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7722 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7723 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7724 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7725 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7726 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7727 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7728 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7729 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7730 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7731 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7732 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7733 |
apply(case_tac "y\<sharp>M'") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7734 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7735 |
apply(simp add: not_Ax2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7736 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7737 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7738 |
case NotR |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7739 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7740 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7741 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7742 |
case (NotL d M' u) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7743 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7744 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7745 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(y,P,M,M{y:=<c>.P},M'{x:=<a>.M},M'{y:=<c>.P}{x:=<a>.M{y:=<c>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7746 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7747 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7748 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7749 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7750 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7751 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7752 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7753 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7754 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7755 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7756 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7757 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7758 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7759 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7760 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(x,y,P,M,M'{y:=<c>.P},M'{y:=<c>.P}{x:=<a>.M{y:=<c>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7761 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7762 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7763 |
apply(simp add: fresh_fun_simp_NotL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7764 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7765 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7766 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7767 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7768 |
apply(simp add: fresh_atm subst_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7769 |
apply(subgoal_tac "P \<noteq> Ax x c") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7770 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7771 |
apply(simp add: forget trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7772 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7773 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7774 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7775 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7776 |
apply(clarify) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7777 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7778 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7779 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7780 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7781 |
case AndR |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7782 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7783 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7784 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7785 |
case (AndL1 u M' v) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7786 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7787 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7788 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(u,y,v,P,M,M{y:=<c>.P},M'{x:=<a>.M},M'{y:=<c>.P}{x:=<a>.M{y:=<c>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7789 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7790 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7791 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7792 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7793 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7794 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7795 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7796 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7797 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7798 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7799 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7800 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7801 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7802 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7803 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(x,y,u,v,P,M,M'{y:=<c>.P},M'{y:=<c>.P}{x:=<a>.M{y:=<c>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7804 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7805 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7806 |
apply(simp add: fresh_fun_simp_AndL1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7807 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7808 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7809 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7810 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7811 |
apply(simp add: fresh_atm subst_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7812 |
apply(subgoal_tac "P \<noteq> Ax x c") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7813 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7814 |
apply(simp add: forget trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7815 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7816 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7817 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7818 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7819 |
apply(clarify) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7820 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7821 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7822 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7823 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7824 |
case (AndL2 u M' v) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7825 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7826 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7827 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(u,y,v,P,M,M{y:=<c>.P},M'{x:=<a>.M},M'{y:=<c>.P}{x:=<a>.M{y:=<c>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7828 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7829 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7830 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7831 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7832 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7833 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7834 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7835 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7836 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7837 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7838 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7839 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7840 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7841 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7842 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(x,y,u,v,P,M,M'{y:=<c>.P},M'{y:=<c>.P}{x:=<a>.M{y:=<c>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7843 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7844 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7845 |
apply(simp add: fresh_fun_simp_AndL2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7846 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7847 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7848 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7849 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7850 |
apply(simp add: fresh_atm subst_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7851 |
apply(subgoal_tac "P \<noteq> Ax x c") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7852 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7853 |
apply(simp add: forget trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7854 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7855 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7856 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7857 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7858 |
apply(clarify) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7859 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7860 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7861 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7862 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7863 |
case OrR1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7864 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7865 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7866 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7867 |
case OrR2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7868 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7869 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7870 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7871 |
case (OrL x1 M' x2 M'' x3) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7872 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7873 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7874 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(y,P,M,M{y:=<c>.P},M'{x:=<a>.M},M'{y:=<c>.P}{x:=<a>.M{y:=<c>.P}}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7875 |
x1,x2,x3,M''{x:=<a>.M},M''{y:=<c>.P}{x:=<a>.M{y:=<c>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7876 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7877 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7878 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7879 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7880 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7881 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7882 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7883 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7884 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7885 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7886 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7887 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7888 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7889 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7890 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7891 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7892 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(x,y,P,M,M'{y:=<c>.P},M'{y:=<c>.P}{x:=<a>.M{y:=<c>.P}}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7893 |
x1,x2,x3,M''{y:=<c>.P},M''{y:=<c>.P}{x:=<a>.M{y:=<c>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7894 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7895 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7896 |
apply(simp add: fresh_fun_simp_OrL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7897 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7898 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7899 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7900 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7901 |
apply(simp add: fresh_atm subst_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7902 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7903 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7904 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7905 |
apply(simp add: forget trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7906 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7907 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7908 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7909 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7910 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7911 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7912 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7913 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7914 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7915 |
case ImpR |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7916 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7917 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7918 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7919 |
case (ImpL d M' x1 M'' x2) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7920 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7921 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7922 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(y,P,M,M{y:=<c>.P},M'{x2:=<a>.M},M'{y:=<c>.P}{x2:=<a>.M{y:=<c>.P}}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7923 |
x1,x2,M''{x2:=<a>.M},M''{y:=<c>.P}{x2:=<a>.M{y:=<c>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7924 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7925 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7926 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7927 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7928 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7929 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7930 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7931 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7932 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7933 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7934 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7935 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7936 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7937 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7938 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7939 |
apply(subgoal_tac "\<exists>x'::name. x'\<sharp>(x,y,P,M,M'{x2:=<c>.P},M'{x2:=<c>.P}{x:=<a>.M{x2:=<c>.P}}, |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7940 |
x1,x2,M''{x2:=<c>.P},M''{x2:=<c>.P}{x:=<a>.M{x2:=<c>.P}})") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7941 |
apply(erule exE, simp add: fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7942 |
apply(erule conjE)+ |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7943 |
apply(simp add: fresh_fun_simp_ImpL) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7944 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7945 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7946 |
apply(rule better_Cut_substn) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7947 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7948 |
apply(simp add: fresh_atm subst_fresh fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7949 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7950 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7951 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7952 |
apply(simp add: forget trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7953 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7954 |
apply(rule substn.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7955 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7956 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7957 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7958 |
apply(rule exists_fresh'(1)[OF fs_name1]) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7959 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7960 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7961 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7962 |
lemma subst_subst4: |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7963 |
assumes a: "x\<sharp>(P,N,y)" "y\<sharp>(M,N)" "a\<sharp>(c,P,M)" "c\<sharp>(P,a)" "M\<noteq>Ax x c" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7964 |
shows "N{a:=(x).M}{c:=(y).P} = N{c:=(y).P}{a:=(x).(M{c:=(y).P})}" |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7965 |
using a |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7966 |
proof(nominal_induct N avoiding: x y a c M P rule: trm.strong_induct) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7967 |
case (Ax z c) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7968 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7969 |
by (auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7970 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7971 |
case (Cut d M' u M'') |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7972 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7973 |
apply(simp add: fresh_atm fresh_prod trm.inject abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7974 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7975 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7976 |
apply(simp add: trm.inject) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7977 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7978 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7979 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7980 |
apply(simp add: abs_fresh subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7981 |
apply(simp add: fresh_prod subst_fresh abs_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7982 |
apply(subgoal_tac "P \<noteq> Ax y a") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7983 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7984 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7985 |
apply(clarify) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7986 |
apply(simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7987 |
apply(case_tac "a\<sharp>M''") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7988 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7989 |
apply(simp add: not_Ax1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7990 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7991 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7992 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7993 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7994 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7995 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7996 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7997 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7998 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
7999 |
apply(simp add: fresh_prod subst_fresh fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8000 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8001 |
apply(auto) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8002 |
apply(case_tac "c\<sharp>M''") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8003 |
apply(simp add: forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8004 |
apply(simp add: not_Ax1) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8005 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8006 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8007 |
case NotL |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8008 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8009 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8010 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8011 |
case (NotR u M' d) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8012 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8013 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8014 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8015 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8016 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8017 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8018 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8019 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8020 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8021 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8022 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8023 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8024 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8025 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8026 |
apply(simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8027 |
apply(auto simp add: fresh_atm fresh_prod)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8028 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8029 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8030 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8031 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8032 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8033 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8034 |
apply(simp add: fresh_prod fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8035 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8036 |
apply(auto simp add: fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8037 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8038 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8039 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8040 |
apply(simp add: fresh_atm subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8041 |
apply(auto simp add: fresh_prod fresh_atm) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8042 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8043 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8044 |
case AndL1 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8045 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8046 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8047 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8048 |
case AndL2 |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8049 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8050 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8051 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8052 |
case (AndR d M e M' f) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8053 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8054 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8055 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8056 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8057 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8058 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8059 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8060 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8061 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8062 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8063 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8064 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8065 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8066 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8067 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8068 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8069 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8070 |
apply(auto simp add: fresh_atm fresh_prod)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8071 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8072 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8073 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8074 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8075 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8076 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8077 |
apply(simp add: subst_fresh fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8078 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8079 |
apply(auto simp add: fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8080 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8081 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8082 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8083 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8084 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8085 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8086 |
apply(auto simp add: fresh_atm fresh_prod)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8087 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8088 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8089 |
case OrL |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8090 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8091 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8092 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8093 |
case (OrR1 d M' e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8094 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8095 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8096 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8097 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8098 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8099 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8100 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8101 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8102 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8103 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8104 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8105 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8106 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8107 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8108 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8109 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8110 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8111 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8112 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8113 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8114 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8115 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8116 |
apply(simp add: subst_fresh fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8117 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8118 |
apply(auto simp add: fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8119 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8120 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8121 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8122 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8123 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8124 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8125 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8126 |
case (OrR2 d M' e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8127 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8128 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8129 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8130 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8131 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8132 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8133 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8134 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8135 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8136 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8137 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8138 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8139 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8140 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8141 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8142 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8143 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8144 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8145 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8146 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8147 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8148 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8149 |
apply(simp add: subst_fresh fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8150 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8151 |
apply(auto simp add: fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8152 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8153 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8154 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8155 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8156 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8157 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8158 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8159 |
case ImpL |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8160 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8161 |
by(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8162 |
next |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8163 |
case (ImpR u d M' e) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8164 |
then show ?case |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8165 |
apply(auto simp add: subst_fresh abs_fresh fresh_atm fresh_prod forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8166 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8167 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8168 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8169 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8170 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8171 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8172 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8173 |
apply(simp add: abs_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8174 |
apply(simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8175 |
apply(simp add: trm.inject alpha) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8176 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8177 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8178 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8179 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8180 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh abs_fresh abs_supp fin_supp)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8181 |
apply(generate_fresh "coname") |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8182 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8183 |
apply(fresh_fun_simp) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8184 |
apply(rule sym) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8185 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8186 |
apply(rule better_Cut_substc) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8187 |
apply(simp add: subst_fresh fresh_atm fresh_prod) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8188 |
apply(simp add: abs_fresh subst_fresh) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8189 |
apply(auto simp add: fresh_atm)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8190 |
apply(simp add: trm.inject alpha forget) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8191 |
apply(rule trans) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8192 |
apply(rule substc.simps) |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8193 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8194 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8195 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh abs_fresh abs_supp fin_supp)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8196 |
apply(auto simp add: fresh_prod fresh_atm subst_fresh abs_fresh abs_supp fin_supp)[1] |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8197 |
done |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8198 |
qed |
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8199 |
|
9be4ab2acc13
split Class.thy into parts to conserve a bit of memory and increase the chance of making it work on Cygwin with only 2 GB available;
wenzelm
parents:
diff
changeset
|
8200 |
end |