author | oheimb |
Thu, 25 Apr 1996 14:06:16 +0200 | |
changeset 1687 | b7078a395934 |
parent 1678 | 8aff580dce44 |
child 1723 | 286f9b6370ab |
permissions | -rw-r--r-- |
1300 | 1 |
open I; |
2 |
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1687
b7078a395934
temporarily included settings for unification bounds again
oheimb
parents:
1678
diff
changeset
|
3 |
Unify.trace_bound := 45; |
b7078a395934
temporarily included settings for unification bounds again
oheimb
parents:
1678
diff
changeset
|
4 |
Unify.search_bound := 50; |
b7078a395934
temporarily included settings for unification bounds again
oheimb
parents:
1678
diff
changeset
|
5 |
|
1300 | 6 |
goal thy |
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"! a m s s' t n. \ |
|
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\ (new_tv m a & new_tv m s) --> I e a m s = Ok(s',t,n) --> \ |
|
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\ ( ? r. W e ($ s a) m = Ok(r, $ s' t, n) & s' = ($ r o s) )"; |
|
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by (expr.induct_tac "e" 1); |
|
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||
1669 | 12 |
(* case Var n *) |
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by (simp_tac (!simpset addsimps [app_subst_list] |
|
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setloop (split_tac [expand_if])) 1); |
|
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by (fast_tac (HOL_cs addss !simpset) 1); |
|
1300 | 16 |
|
1669 | 17 |
(* case Abs e *) |
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by (asm_full_simp_tac (!simpset setloop (split_tac [expand_bind])) 1); |
|
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by (strip_tac 1); |
|
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by (rtac conjI 1); |
|
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by (strip_tac 1); |
|
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by (REPEAT (etac allE 1)); |
|
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by (etac impE 1); |
|
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by (fast_tac (HOL_cs addss (!simpset addsimps [new_tv_subst])) 2); |
|
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by (fast_tac (HOL_cs addIs [new_tv_Suc_list RS mp,new_tv_subst_le, |
|
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less_imp_le,lessI]) 1); |
|
1300 | 27 |
|
1669 | 28 |
by (strip_tac 1); |
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by (REPEAT (etac allE 1)); |
|
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by (etac impE 1); |
|
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by (fast_tac (HOL_cs addss (!simpset addsimps [new_tv_subst])) 2); |
|
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by (fast_tac (HOL_cs addIs [new_tv_Suc_list RS mp,new_tv_subst_le, |
|
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less_imp_le,lessI]) 1); |
|
1300 | 34 |
|
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(* case App e1 e2 *) |
|
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by (simp_tac (!simpset setloop (split_tac [expand_bind])) 1); |
|
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by (strip_tac 1); |
|
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by (rename_tac "s1' t1 n1 s2' t2 n2 sa" 1); |
|
1465 | 39 |
by (rtac conjI 1); |
1669 | 40 |
by (fast_tac (HOL_cs addss !simpset) 1); |
1300 | 41 |
by (strip_tac 1); |
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by (rename_tac "s1 t1' n1'" 1); |
|
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by (eres_inst_tac [("x","a")] allE 1); |
|
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by (eres_inst_tac [("x","m")] allE 1); |
|
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by (eres_inst_tac [("x","s")] allE 1); |
|
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by (eres_inst_tac [("x","s1'")] allE 1); |
|
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by (eres_inst_tac [("x","t1")] allE 1); |
|
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by (eres_inst_tac [("x","n1")] allE 1); |
|
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by (eres_inst_tac [("x","a")] allE 1); |
|
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by (eres_inst_tac [("x","n1")] allE 1); |
|
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by (eres_inst_tac [("x","s1'")] allE 1); |
|
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by (eres_inst_tac [("x","s2'")] allE 1); |
|
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by (eres_inst_tac [("x","t2")] allE 1); |
|
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by (eres_inst_tac [("x","n2")] allE 1); |
|
1465 | 55 |
by (rtac conjI 1); |
1669 | 56 |
by (strip_tac 1); |
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by (mp_tac 1); |
|
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by (mp_tac 1); |
|
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by (etac exE 1); |
|
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by (etac conjE 1); |
|
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by (etac impE 1); |
|
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by ((forward_tac [new_tv_subst_tel] 1) THEN (atac 1)); |
|
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by ((dres_inst_tac [("a","$ s a")] new_tv_W 1) THEN (atac 1)); |
|
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by (fast_tac (HOL_cs addDs [sym RS W_var_geD,new_tv_subst_le,new_tv_list_le] |
|
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addss !simpset) 1); |
|
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by (fast_tac (HOL_cs addss (!simpset addsimps [subst_comp_tel])) 1); |
|
1300 | 67 |
by (strip_tac 1); |
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by (rename_tac "s2 t2' n2'" 1); |
|
1465 | 69 |
by (rtac conjI 1); |
1669 | 70 |
by (strip_tac 1); |
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by (mp_tac 1); |
|
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by (mp_tac 1); |
|
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by (etac exE 1); |
|
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by (etac conjE 1); |
|
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by (etac impE 1); |
|
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by ((forward_tac [new_tv_subst_tel] 1) THEN (atac 1)); |
|
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by ((dres_inst_tac [("a","$ s a")] new_tv_W 1) THEN (atac 1)); |
|
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by (fast_tac (HOL_cs addDs [sym RS W_var_geD,new_tv_subst_le,new_tv_list_le] |
|
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addss !simpset) 1); |
|
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by (fast_tac (HOL_cs addss (!simpset addsimps [subst_comp_tel,subst_comp_te])) 1); |
|
1300 | 81 |
by (strip_tac 1); |
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by (mp_tac 1); |
|
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by (mp_tac 1); |
|
1465 | 84 |
by (etac exE 1); |
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by (etac conjE 1); |
|
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by (etac impE 1); |
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1669 | 87 |
by ((forward_tac [new_tv_subst_tel] 1) THEN (atac 1)); |
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by ((dres_inst_tac [("a","$ s a")] new_tv_W 1) THEN (atac 1)); |
|
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by (fast_tac (HOL_cs addDs [sym RS W_var_geD,new_tv_subst_le,new_tv_list_le] |
|
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addss !simpset) 1); |
|
1300 | 91 |
by (mp_tac 1); |
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by (REPEAT (eresolve_tac [exE,conjE] 1)); |
|
1669 | 93 |
by (REPEAT(EVERY1 |
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[asm_full_simp_tac (!simpset addsimps [subst_comp_tel,subst_comp_te]), |
|
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REPEAT o etac conjE, hyp_subst_tac])); |
|
1465 | 96 |
by (rtac exI 1); |
1300 | 97 |
by (safe_tac HOL_cs); |
1669 | 98 |
by (fast_tac HOL_cs 1); |
99 |
by (simp_tac (!simpset addsimps [o_def,subst_comp_te]) 2); |
|
1300 | 100 |
by (subgoal_tac "new_tv n2 s & new_tv n2 r & new_tv n2 ra" 1); |
1669 | 101 |
by (asm_full_simp_tac (!simpset addsimps [new_tv_subst]) 1); |
1300 | 102 |
by ((forward_tac [new_tv_subst_tel] 1) THEN (atac 1)); |
1486 | 103 |
by ((dres_inst_tac [("a","$ s a")] new_tv_W 1) THEN (atac 1)); |
1300 | 104 |
by (safe_tac HOL_cs); |
1669 | 105 |
by (fast_tac (HOL_cs addDs[sym RS W_var_geD,new_tv_subst_le,new_tv_list_le] |
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addss !simpset) 1); |
|
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by (fast_tac (HOL_cs addDs [sym RS W_var_geD,new_tv_subst_le,new_tv_list_le] |
|
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addss !simpset) 1); |
|
1300 | 109 |
by (dres_inst_tac [("e","expr1")] (sym RS W_var_geD) 1); |
110 |
by ((dtac new_tv_subst_tel 1) THEN (atac 1)); |
|
1400 | 111 |
by ((dres_inst_tac [("ts","$ s a")] new_tv_list_le 1) THEN (atac 1)); |
1300 | 112 |
by ((dtac new_tv_subst_tel 1) THEN (atac 1)); |
113 |
by (fast_tac (HOL_cs addDs [new_tv_W] addss |
|
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(!simpset addsimps [subst_comp_tel])) 1); |
|
1486 | 115 |
qed_spec_mp "I_correct_wrt_W"; |