| author | wenzelm |
| Sat, 01 Dec 2001 18:52:32 +0100 | |
| changeset 12338 | de0f4a63baa5 |
| parent 12030 | 46d57d0290a2 |
| child 14981 | e73f8140af78 |
| permissions | -rw-r--r-- |
|
2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
1 |
(* Title: HOLCF/Discrete.ML |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
2 |
ID: $Id$ |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
3 |
Author: Tobias Nipkow |
| 12030 | 4 |
License: GPL (GNU GENERAL PUBLIC LICENSE) |
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2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
5 |
*) |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
6 |
|
| 5068 | 7 |
Goalw [undiscr_def] "undiscr(Discr x) = x"; |
| 4423 | 8 |
by (Simp_tac 1); |
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2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
9 |
qed "undiscr_Discr"; |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
10 |
Addsimps [undiscr_Discr]; |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
11 |
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| 5068 | 12 |
Goal |
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12338
de0f4a63baa5
renamed class "term" to "type" (actually "HOL.type");
wenzelm
parents:
12030
diff
changeset
|
13 |
"!!S::nat=>('a::type)discr. chain(S) ==> range(%i. f(S i)) = {f(S 0)}";
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| 4423 | 14 |
by (fast_tac (claset() addDs [discr_chain0] addEs [arg_cong]) 1); |
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2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
15 |
qed "discr_chain_f_range0"; |
|
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
16 |
|
|
12338
de0f4a63baa5
renamed class "term" to "type" (actually "HOL.type");
wenzelm
parents:
12030
diff
changeset
|
17 |
Goalw [cont,is_lub_def,is_ub_def] "cont(%x::('a::type)discr. f x)";
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| 4423 | 18 |
by (simp_tac (simpset() addsimps [discr_chain_f_range0]) 1); |
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2841
c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
19 |
qed "cont_discr"; |
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c2508f4ab739
Added "discrete" CPOs and modified IMP to use those rather than "lift"
nipkow
parents:
diff
changeset
|
20 |
AddIffs [cont_discr]; |