diff -r 4b0563bc4b03 -r 7d8949da7d99 Quot/Nominal/Rsp.thy --- a/Quot/Nominal/Rsp.thy Wed Feb 24 17:32:43 2010 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,118 +0,0 @@ -theory Rsp -imports Abs -begin - -ML {* -fun define_quotient_type args tac ctxt = -let - val mthd = Method.SIMPLE_METHOD tac - val mthdt = Method.Basic (fn _ => mthd) - val bymt = Proof.global_terminal_proof (mthdt, NONE) -in - bymt (Quotient_Type.quotient_type args ctxt) -end -*} - -ML {* -fun const_rsp lthy const = -let - val nty = fastype_of (Quotient_Term.quotient_lift_const ("", const) lthy) - val rel = Quotient_Term.equiv_relation_chk lthy (fastype_of const, nty); -in - HOLogic.mk_Trueprop (rel $ const $ const) -end -*} - -(* Replaces bounds by frees and meta implications by implications *) -ML {* -fun prepare_goal trm = -let - val vars = strip_all_vars trm - val fs = rev (map Free vars) - val (fixes, no_alls) = ((map fst vars), subst_bounds (fs, (strip_all_body trm))) - val prems = map HOLogic.dest_Trueprop (Logic.strip_imp_prems no_alls) - val concl = HOLogic.dest_Trueprop (Logic.strip_imp_concl no_alls) -in - (fixes, fold (curry HOLogic.mk_imp) prems concl) -end -*} - -ML {* -fun get_rsp_goal thy trm = -let - val goalstate = Goal.init (cterm_of thy trm); - val tac = REPEAT o rtac @{thm fun_rel_id}; -in - case (SINGLE (tac 1) goalstate) of - NONE => error "rsp_goal failed" - | SOME th => prepare_goal (term_of (cprem_of th 1)) -end -*} - -ML {* -fun repeat_mp thm = repeat_mp (mp OF [thm]) handle THM _ => thm -*} - -ML {* -fun prove_const_rsp bind consts tac ctxt = -let - val rsp_goals = map (const_rsp ctxt) consts - val thy = ProofContext.theory_of ctxt - val (fixed, user_goals) = split_list (map (get_rsp_goal thy) rsp_goals) - val fixed' = distinct (op =) (flat fixed) - val user_goal = HOLogic.mk_Trueprop (foldr1 HOLogic.mk_conj user_goals) - val user_thm = Goal.prove ctxt fixed' [] user_goal tac - val user_thms = map repeat_mp (HOLogic.conj_elims user_thm) - fun tac _ = (REPEAT o rtac @{thm fun_rel_id} THEN' resolve_tac user_thms THEN_ALL_NEW atac) 1 - val rsp_thms = map (fn gl => Goal.prove ctxt [] [] gl tac) rsp_goals -in - ctxt -|> snd o Local_Theory.note - ((Binding.empty, [Attrib.internal (fn _ => Quotient_Info.rsp_rules_add)]), rsp_thms) -|> snd o Local_Theory.note ((bind, []), user_thms) -end -*} - - - -ML {* -fun fvbv_rsp_tac induct fvbv_simps = - ((((rtac impI THEN' etac induct) ORELSE' rtac induct) THEN_ALL_NEW - (TRY o rtac @{thm TrueI})) THEN_ALL_NEW asm_full_simp_tac - (HOL_ss addsimps (@{thm alpha_gen} :: fvbv_simps))) -*} - -ML {* -fun constr_rsp_tac inj rsp equivps = -let - val reflps = map (fn x => @{thm equivp_reflp} OF [x]) equivps -in - REPEAT o rtac impI THEN' - simp_tac (HOL_ss addsimps inj) THEN' - (TRY o REPEAT_ALL_NEW (CHANGED o rtac conjI)) THEN_ALL_NEW - (asm_simp_tac HOL_ss THEN_ALL_NEW ( - rtac @{thm exI[of _ "0 :: perm"]} THEN' - asm_full_simp_tac (HOL_ss addsimps (rsp @ reflps @ - @{thms alpha_gen fresh_star_def fresh_zero_perm permute_zero ball_triv})) - )) -end -*} - -(* Testing code -local_setup {* prove_const_rsp @{binding fv_rtrm2_rsp} [@{term rbv2}] - (fn _ => fv_rsp_tac @{thm alpha_rtrm2_alpha_rassign.inducts(2)} @{thms fv_rtrm2_fv_rassign.simps} 1) *}*) - -(*ML {* - val rsp_goals = map (const_rsp @{context}) [@{term rbv2}] - val (fixed, user_goals) = split_list (map (get_rsp_goal @{theory}) rsp_goals) - val fixed' = distinct (op =) (flat fixed) - val user_goal = HOLogic.mk_Trueprop (foldr1 HOLogic.mk_conj user_goals) -*} -prove ug: {* user_goal *} -ML_prf {* -val induct = @{thm alpha_rtrm2_alpha_rassign.inducts(2)} -val fv_simps = @{thms rbv2.simps} -*} -*) - -end