src/HOL/cladata.ML
author wenzelm
Sun, 22 Jul 2001 21:31:00 +0200
changeset 11440 e389e4338604
parent 10906 de95ba2760fe
child 11451 8abfb4f7bd02
permissions -rw-r--r--
the_equality [intro];
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
     1
(*  Title:      HOL/cladata.ML
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
     2
    ID:         $Id$
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
     3
    Author:     Tobias Nipkow
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
     4
    Copyright   1996  University of Cambridge
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
     5
4085
6e2d41a5ea43 adapted to new implicit claset;
wenzelm
parents: 4059
diff changeset
     6
Setting up the classical reasoner.
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
     7
*)
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
     8
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
     9
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    10
(** Applying HypsubstFun to generate hyp_subst_tac **)
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    11
section "Classical Reasoner";
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    12
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    13
structure Hypsubst_Data =
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    14
  struct
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    15
  structure Simplifier = Simplifier
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    16
  (*Take apart an equality judgement; otherwise raise Match!*)
4466
305390f23734 Better equality handling in Blast_tac, usingd a new variant of hyp_subst_tac
paulson
parents: 4305
diff changeset
    17
  fun dest_eq (Const("op =",T)  $ t $ u) = (t, u, domain_type T)
305390f23734 Better equality handling in Blast_tac, usingd a new variant of hyp_subst_tac
paulson
parents: 4305
diff changeset
    18
  val dest_Trueprop = HOLogic.dest_Trueprop
305390f23734 Better equality handling in Blast_tac, usingd a new variant of hyp_subst_tac
paulson
parents: 4305
diff changeset
    19
  val dest_imp = HOLogic.dest_imp
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    20
  val eq_reflection = eq_reflection
9531
7a0d4a6299b4 val rev_eq_reflection = def_imp_eq;
wenzelm
parents: 9472
diff changeset
    21
  val rev_eq_reflection = def_imp_eq
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    22
  val imp_intr = impI
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    23
  val rev_mp = rev_mp
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    24
  val subst = subst
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    25
  val sym = sym
7357
d0e16da40ea2 proper bootstrap of HOL theory and packages;
wenzelm
parents: 7153
diff changeset
    26
  val thin_refl = prove_goal (the_context ())
4223
f60e3d2c81d3 added thin_refl to hyp_subst_tac
oheimb
parents: 4206
diff changeset
    27
		  "!!X. [|x=x; PROP W|] ==> PROP W" (K [atac 1]);
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    28
  end;
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    29
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    30
structure Hypsubst = HypsubstFun(Hypsubst_Data);
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    31
open Hypsubst;
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    32
9158
084abf3d0eff declaring and using cla_make_elim
paulson
parents: 8099
diff changeset
    33
084abf3d0eff declaring and using cla_make_elim
paulson
parents: 8099
diff changeset
    34
(*** Applying Make_Elim_Fun to create a classical "make_elim" rule ***)
9846
wenzelm
parents: 9531
diff changeset
    35
structure Make_Elim = Make_Elim_Fun (val classical = classical);
9158
084abf3d0eff declaring and using cla_make_elim
paulson
parents: 8099
diff changeset
    36
084abf3d0eff declaring and using cla_make_elim
paulson
parents: 8099
diff changeset
    37
(*we don't redeclare the original make_elim (Tactic.make_elim) for 
084abf3d0eff declaring and using cla_make_elim
paulson
parents: 8099
diff changeset
    38
  compatibliity with strange things done in many existing proofs *)
084abf3d0eff declaring and using cla_make_elim
paulson
parents: 8099
diff changeset
    39
val cla_make_elim = Make_Elim.make_elim;
084abf3d0eff declaring and using cla_make_elim
paulson
parents: 8099
diff changeset
    40
10906
de95ba2760fe tuned atomize;
wenzelm
parents: 10429
diff changeset
    41
val atomize_rules = thms "atomize'";
de95ba2760fe tuned atomize;
wenzelm
parents: 10429
diff changeset
    42
val atomize_tac = Method.atomize_tac atomize_rules;
de95ba2760fe tuned atomize;
wenzelm
parents: 10429
diff changeset
    43
val atomize_strip_tac = Method.atomize_strip_tac (atomize_rules, [impI, allI]);
de95ba2760fe tuned atomize;
wenzelm
parents: 10429
diff changeset
    44
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    45
(*** Applying ClassicalFun to create a classical prover ***)
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    46
structure Classical_Data = 
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    47
  struct
9158
084abf3d0eff declaring and using cla_make_elim
paulson
parents: 8099
diff changeset
    48
  val make_elim = cla_make_elim
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    49
  val mp        = mp
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    50
  val not_elim  = notE
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    51
  val classical = classical
9158
084abf3d0eff declaring and using cla_make_elim
paulson
parents: 8099
diff changeset
    52
  val sizef     = size_of_thm
4206
688050e83d89 restored last version
oheimb
parents: 4205
diff changeset
    53
  val hyp_subst_tacs=[hyp_subst_tac]
10906
de95ba2760fe tuned atomize;
wenzelm
parents: 10429
diff changeset
    54
  val atomize	= atomize_rules
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    55
  end;
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    56
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    57
structure Classical = ClassicalFun(Classical_Data);
10197
4ea3ee8de019 renamed ?Pa to ?Q in swap
paulson
parents: 9969
diff changeset
    58
4ea3ee8de019 renamed ?Pa to ?Q in swap
paulson
parents: 9969
diff changeset
    59
structure BasicClassical: BASIC_CLASSICAL = Classical; 
4ea3ee8de019 renamed ?Pa to ?Q in swap
paulson
parents: 9969
diff changeset
    60
open BasicClassical;
4ea3ee8de019 renamed ?Pa to ?Q in swap
paulson
parents: 9969
diff changeset
    61
10231
178a272bceeb renaming of contrapos rules
paulson
parents: 10197
diff changeset
    62
bind_thm ("contrapos_np", inst "Pa" "?Q" swap);
10197
4ea3ee8de019 renamed ?Pa to ?Q in swap
paulson
parents: 9969
diff changeset
    63
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    64
(*Propositional rules*)
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    65
val prop_cs = empty_cs addSIs [refl,TrueI,conjI,disjCI,impI,notI,iffI]
4305
03d7de40ee4f The change from iffE to iffCE means fewer case splits in most cases. Very few
paulson
parents: 4240
diff changeset
    66
                       addSEs [conjE,disjE,impCE,FalseE,iffCE];
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    67
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    68
(*Quantifier rules*)
11440
e389e4338604 the_equality [intro];
wenzelm
parents: 10906
diff changeset
    69
val HOL_cs = prop_cs addSIs [allI,ex_ex1I] addIs [exI, some_equality, the_equality] 
3004
8036aaf49f70 New elimination rule for "unique existence"
paulson
parents: 2882
diff changeset
    70
                     addSEs [exE] addEs [allE];
1985
84cf16192e03 Tidied many proofs, using AddIffs to let equivalences take
paulson
parents:
diff changeset
    71
7357
d0e16da40ea2 proper bootstrap of HOL theory and packages;
wenzelm
parents: 7153
diff changeset
    72
val clasetup = [fn thy => (claset_ref_of thy := HOL_cs; thy)];