--- a/src/HOL/MiniML/Generalize.ML Mon Mar 01 13:51:21 2004 +0100
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,134 +0,0 @@
-(* Title: HOL/MiniML/Generalize.ML
- ID: $Id$
- Author: Wolfgang Naraschewski and Tobias Nipkow
- Copyright 1996 TU Muenchen
-*)
-
-AddSEs [equalityE];
-
-Goal "free_tv A = free_tv B ==> gen A t = gen B t";
-by (induct_tac "t" 1);
-by (ALLGOALS Asm_simp_tac);
-qed "gen_eq_on_free_tv";
-
-Goal "(free_tv t) <= (free_tv sch) --> gen sch t = (mk_scheme t)";
-by (induct_tac "t" 1);
-by (Asm_simp_tac 1);
-by (Simp_tac 1);
-by (Fast_tac 1);
-qed_spec_mp "gen_without_effect";
-
-Addsimps [gen_without_effect];
-
-Goal "free_tv (gen ($ S A) t) = free_tv t Int free_tv ($ S A)";
-by (induct_tac "t" 1);
-by (Simp_tac 1);
-by (case_tac "nat : free_tv ($ S A)" 1);
-by (Asm_simp_tac 1);
-by (Fast_tac 1);
-by (Asm_simp_tac 1);
-by (Fast_tac 1);
-by (Asm_full_simp_tac 1);
-by (Fast_tac 1);
-qed "free_tv_gen";
-
-Addsimps [free_tv_gen];
-
-Goal "free_tv (gen ($ S A) t # $ S A) = free_tv ($ S A)";
-by (Simp_tac 1);
-by (Fast_tac 1);
-qed "free_tv_gen_cons";
-
-Addsimps [free_tv_gen_cons];
-
-Goal "bound_tv (gen A t1) = (free_tv t1) - (free_tv A)";
-by (induct_tac "t1" 1);
-by (Simp_tac 1);
-by (case_tac "nat : free_tv A" 1);
-by (Asm_simp_tac 1);
-by (Asm_simp_tac 1);
-by (Fast_tac 1);
-by (Asm_simp_tac 1);
-by (Fast_tac 1);
-qed "bound_tv_gen";
-
-Addsimps [bound_tv_gen];
-
-Goal "new_tv n t --> new_tv n (gen A t)";
-by (induct_tac "t" 1);
-by Auto_tac;
-qed_spec_mp "new_tv_compatible_gen";
-
-Goalw [gen_ML_def] "gen A t = gen_ML A t";
-by (induct_tac "t" 1);
- by (simp_tac (simpset() addsimps [free_tv_ML_scheme_list]) 1);
-by (asm_simp_tac (simpset() addsimps [free_tv_ML_scheme_list]) 1);
-qed "gen_eq_gen_ML";
-
-Goal "(free_tv S) Int ((free_tv t) - (free_tv A)) = {} \
-\ --> gen ($ S A) ($ S t) = $ S (gen A t)";
-by (induct_tac "t" 1);
- by (strip_tac 1);
- by (case_tac "nat:(free_tv A)" 1);
- by (Asm_simp_tac 1);
- by (Asm_full_simp_tac 1);
- by (subgoal_tac "nat ~: free_tv S" 1);
- by (Fast_tac 2);
- by (asm_full_simp_tac (simpset() addsimps [free_tv_subst,dom_def]) 1);
- by (cut_facts_tac [free_tv_app_subst_scheme_list] 1);
- by (Fast_tac 1);
-by (Asm_simp_tac 1);
-by (Blast_tac 1);
-qed_spec_mp "gen_subst_commutes";
-
-Goal "free_tv(t::typ) <= free_tv(A) --> bound_typ_inst S (gen A t) = t";
-by (induct_tac "t" 1);
-by (ALLGOALS Asm_simp_tac);
-by (Fast_tac 1);
-qed_spec_mp "bound_typ_inst_gen";
-Addsimps [bound_typ_inst_gen];
-
-Goalw [le_type_scheme_def,is_bound_typ_instance]
- "gen ($ S A) ($ S t) <= $ S (gen A t)";
-by Safe_tac;
-by (rename_tac "R" 1);
-by (res_inst_tac [("x", "(%a. bound_typ_inst R (gen ($S A) (S a)))")] exI 1);
-by (induct_tac "t" 1);
- by (Simp_tac 1);
-by (Asm_simp_tac 1);
-qed "gen_bound_typ_instance";
-
-Goalw [le_type_scheme_def,is_bound_typ_instance]
- "free_tv B <= free_tv A ==> gen A t <= gen B t";
-by Safe_tac;
-by (rename_tac "S" 1);
-by (res_inst_tac [("x","%b. if b:free_tv A then TVar b else S b")] exI 1);
-by (induct_tac "t" 1);
- by (Asm_simp_tac 1);
- by (Fast_tac 1);
-by (Asm_simp_tac 1);
-qed "free_tv_subset_gen_le";
-
-Goalw [le_type_scheme_def,is_bound_typ_instance]
- "new_tv n A --> \
-\ gen A t <= gen A ($ (%x. TVar (if x : free_tv A then x else n + x)) t)";
-by (strip_tac 1);
-by (etac exE 1);
-by (hyp_subst_tac 1);
-by (res_inst_tac [("x","(%x. S (if n <= x then x - n else x))")] exI 1);
-by (induct_tac "t" 1);
-by (Simp_tac 1);
-by (case_tac "nat : free_tv A" 1);
-by (Asm_simp_tac 1);
-by (Asm_simp_tac 1);
-by (subgoal_tac "n <= n + nat" 1);
-by (forw_inst_tac [("t","A")] new_tv_le 1);
-by (assume_tac 1);
-by (dtac new_tv_not_free_tv 1);
-by (dtac new_tv_not_free_tv 1);
-by (asm_simp_tac (simpset() addsimps [diff_add_inverse]) 1);
-by (simp_tac (simpset() addsimps [le_add1]) 1);
-by (Asm_simp_tac 1);
-qed_spec_mp "gen_t_le_gen_alpha_t";
-
-Addsimps [gen_t_le_gen_alpha_t];