(* Title: HOL/cladata.ML ID: $Id: cladata.ML,v 1.37 2005/03/03 11:43:07 skalberg Exp $ Author: Tobias Nipkow Copyright 1996 University of Cambridge Setting up the classical reasoner. *) (** Applying HypsubstFun to generate hyp_subst_tac **) section "Classical Reasoner"; structure Hypsubst_Data = struct structure Simplifier = Simplifier (*Take apart an equality judgement; otherwise raise Match!*) fun dest_eq (Const("op =",T) $ t $ u) = (t, u, domain_type T) val dest_Trueprop = HOLogic.dest_Trueprop val dest_imp = HOLogic.dest_imp val eq_reflection = eq_reflection val rev_eq_reflection = def_imp_eq val imp_intr = impI val rev_mp = rev_mp val subst = subst val sym = sym val thin_refl = prove_goal (the_context ()) "!!X. [|x=x; PROP W|] ==> PROP W" (K [atac 1]); end; structure Hypsubst = HypsubstFun(Hypsubst_Data); open Hypsubst; (*prevent substitution on bool*) fun hyp_subst_tac' i thm = if i <= Thm.nprems_of thm andalso Term.exists_Const (fn ("op =", Type (_, [T, _])) => T <> Type ("bool", []) | _ => false) (List.nth (Thm.prems_of thm, i - 1)) then hyp_subst_tac i thm else no_tac thm; (*** Applying Make_Elim_Fun to create a classical "make_elim" rule ***) structure Make_Elim = Make_Elim_Fun (val classical = classical); (*we don't redeclare the original make_elim (Tactic.make_elim) for compatibliity with strange things done in many existing proofs *) val cla_make_elim = Make_Elim.make_elim; (*** Applying ClassicalFun to create a classical prover ***) structure Classical_Data = struct val make_elim = cla_make_elim val mp = mp val not_elim = notE val classical = classical val sizef = size_of_thm val hyp_subst_tacs=[hyp_subst_tac] end; structure Classical = ClassicalFun(Classical_Data); structure BasicClassical: BASIC_CLASSICAL = Classical; open BasicClassical; bind_thm ("contrapos_np", inst "Pa" "?Q" swap); (*Propositional rules*) val prop_cs = empty_cs addSIs [refl,TrueI,conjI,disjCI,impI,notI,iffI] addSEs [conjE,disjE,impCE,FalseE,iffCE]; (*Quantifier rules*) val HOL_cs = prop_cs addSIs [allI,ex_ex1I] addIs [exI, the_equality] addSEs [exE] addEs [allE]; val clasetup = [fn thy => (claset_ref_of thy := HOL_cs; thy)];