src/HOL/cladata.ML
author paulson
Thu Nov 06 10:29:37 1997 +0100 (1997-11-06)
changeset 4179 cc4b6791d5dc
parent 4085 6e2d41a5ea43
child 4205 96632970d203
permissions -rw-r--r--
hyp_subst_tac checks if the equality has type variables and uses a suitable
method if so. Affects the dest_eq function
     1 (*  Title:      HOL/cladata.ML
     2     ID:         $Id$
     3     Author:     Tobias Nipkow
     4     Copyright   1996  University of Cambridge
     5 
     6 Setting up the classical reasoner.
     7 *)
     8 
     9 
    10 (** Applying HypsubstFun to generate hyp_subst_tac **)
    11 section "Classical Reasoner";
    12 
    13 structure Hypsubst_Data =
    14   struct
    15   structure Simplifier = Simplifier
    16   (*Take apart an equality judgement; otherwise raise Match!*)
    17   fun dest_eq (Const("Trueprop",_) $ (Const("op =",T)  $ t $ u)) = 
    18 	(t, u, domain_type T)
    19   val eq_reflection = eq_reflection
    20   val imp_intr = impI
    21   val rev_mp = rev_mp
    22   val subst = subst
    23   val sym = sym
    24   end;
    25 
    26 structure Hypsubst = HypsubstFun(Hypsubst_Data);
    27 open Hypsubst;
    28 
    29 (*** Applying ClassicalFun to create a classical prover ***)
    30 structure Classical_Data = 
    31   struct
    32   val sizef     = size_of_thm
    33   val mp        = mp
    34   val not_elim  = notE
    35   val classical = classical
    36   val hyp_subst_tacs=[hyp_subst_tac]
    37   end;
    38 
    39 structure Classical = ClassicalFun(Classical_Data);
    40 open Classical;
    41 
    42 (*Propositional rules*)
    43 val prop_cs = empty_cs addSIs [refl,TrueI,conjI,disjCI,impI,notI,iffI]
    44                        addSEs [conjE,disjE,impCE,FalseE,iffE];
    45 
    46 (*Quantifier rules*)
    47 val HOL_cs = prop_cs addSIs [allI,ex_ex1I] addIs [exI] 
    48                      addSEs [exE] addEs [allE];
    49 
    50 claset_ref() := HOL_cs;
    51 
    52 (*Better then ex1E for classical reasoner: needs no quantifier duplication!*)
    53 qed_goal "alt_ex1E" thy
    54     "[| ?! x. P(x);                                              \
    55 \       !!x. [| P(x);  ALL y y'. P(y) & P(y') --> y=y' |] ==> R  \
    56 \    |] ==> R"
    57  (fn major::prems =>
    58   [ (rtac (major RS ex1E) 1),
    59     (REPEAT (ares_tac (allI::prems) 1)),
    60     (etac (dup_elim allE) 1),
    61     (Fast_tac 1)]);
    62 
    63 AddSEs [alt_ex1E];
    64 
    65 (*** Applying BlastFun to create Blast_tac ***)
    66 structure Blast_Data = 
    67   struct
    68   type claset	= Classical.claset
    69   val notE	= notE
    70   val ccontr	= ccontr
    71   val contr_tac = Classical.contr_tac
    72   val dup_intr	= Classical.dup_intr
    73   val vars_gen_hyp_subst_tac = Hypsubst.vars_gen_hyp_subst_tac
    74   val claset	= Classical.claset
    75   val rep_claset = Classical.rep_claset
    76   end;
    77 
    78 structure Blast = BlastFun(Blast_Data);
    79 Blast.overload ("op =", domain_type);	(*overloading of equality as iff*)
    80 
    81 val Blast_tac = Blast.Blast_tac
    82 and blast_tac = Blast.blast_tac;