src/HOL/Library/Old_Recdef.thy
author wenzelm
Thu, 15 Mar 2012 14:13:49 +0100
changeset 46942 f5c2d66faa04
parent 44014 88bd7d74a2c1
child 46947 b8c7eb0c2f89
permissions -rw-r--r--
basic support for outer syntax keywords in theory header;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
44013
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
     1
(*  Title:      HOL/Library/Old_Recdef.thy
10773
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
     2
    Author:     Konrad Slind and Markus Wenzel, TU Muenchen
12023
wenzelm
parents: 11533
diff changeset
     3
*)
5123
97c1d5c7b701 stepping stones;
wenzelm
parents:
diff changeset
     4
12023
wenzelm
parents: 11533
diff changeset
     5
header {* TFL: recursive function definitions *}
7701
2c8c3b7003e5 load / setup recdef package (TFL);
wenzelm
parents: 7357
diff changeset
     6
44013
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
     7
theory Old_Recdef
44014
88bd7d74a2c1 moved recursion combinator to HOL/Library/Wfrec.thy -- it is so fundamental and well-known that it should survive recdef
krauss
parents: 44013
diff changeset
     8
imports Wfrec
46942
f5c2d66faa04 basic support for outer syntax keywords in theory header;
wenzelm
parents: 44014
diff changeset
     9
keywords "recdef" :: thy_decl
16417
9bc16273c2d4 migrated theory headers to new format
haftmann
parents: 15481
diff changeset
    10
uses
44013
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    11
  ("~~/src/HOL/Tools/TFL/casesplit.ML")
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    12
  ("~~/src/HOL/Tools/TFL/utils.ML")
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    13
  ("~~/src/HOL/Tools/TFL/usyntax.ML")
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    14
  ("~~/src/HOL/Tools/TFL/dcterm.ML")
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    15
  ("~~/src/HOL/Tools/TFL/thms.ML")
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    16
  ("~~/src/HOL/Tools/TFL/rules.ML")
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    17
  ("~~/src/HOL/Tools/TFL/thry.ML")
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    18
  ("~~/src/HOL/Tools/TFL/tfl.ML")
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    19
  ("~~/src/HOL/Tools/TFL/post.ML")
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    20
  ("~~/src/HOL/Tools/recdef.ML")
15131
c69542757a4d New theory header syntax.
nipkow
parents: 12437
diff changeset
    21
begin
10773
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    22
44013
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    23
subsection {* Lemmas for TFL *}
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    24
26748
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    25
lemma tfl_wf_induct: "ALL R. wf R -->  
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    26
       (ALL P. (ALL x. (ALL y. (y,x):R --> P y) --> P x) --> (ALL x. P x))"
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    27
apply clarify
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    28
apply (rule_tac r = R and P = P and a = x in wf_induct, assumption, blast)
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    29
done
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    30
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    31
lemma tfl_cut_apply: "ALL f R. (x,a):R --> (cut f R a)(x) = f(x)"
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    32
apply clarify
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    33
apply (rule cut_apply, assumption)
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    34
done
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    35
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    36
lemma tfl_wfrec:
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    37
     "ALL M R f. (f=wfrec R M) --> wf R --> (ALL x. f x = M (cut f R x) x)"
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    38
apply clarify
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    39
apply (erule wfrec)
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    40
done
4d51ddd6aa5c Merged theories about wellfoundedness into one: Wellfounded.thy
krauss
parents: 23742
diff changeset
    41
10773
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    42
lemma tfl_eq_True: "(x = True) --> x"
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    43
  by blast
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    44
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    45
lemma tfl_rev_eq_mp: "(x = y) --> y --> x";
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    46
  by blast
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    47
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    48
lemma tfl_simp_thm: "(x --> y) --> (x = x') --> (x' --> y)"
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    49
  by blast
6438
e55a1869ed38 'HOL/recdef' theory data;
wenzelm
parents: 5123
diff changeset
    50
10773
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    51
lemma tfl_P_imp_P_iff_True: "P ==> P = True"
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    52
  by blast
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    53
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    54
lemma tfl_imp_trans: "(A --> B) ==> (B --> C) ==> (A --> C)"
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    55
  by blast
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    56
12023
wenzelm
parents: 11533
diff changeset
    57
lemma tfl_disj_assoc: "(a \<or> b) \<or> c == a \<or> (b \<or> c)"
10773
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    58
  by simp
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    59
12023
wenzelm
parents: 11533
diff changeset
    60
lemma tfl_disjE: "P \<or> Q ==> P --> R ==> Q --> R ==> R"
10773
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    61
  by blast
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    62
12023
wenzelm
parents: 11533
diff changeset
    63
lemma tfl_exE: "\<exists>x. P x ==> \<forall>x. P x --> Q ==> Q"
10773
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    64
  by blast
0deff0197496 renamed .sml files to .ML;
wenzelm
parents: 10653
diff changeset
    65
44013
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    66
use "~~/src/HOL/Tools/TFL/casesplit.ML"
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    67
use "~~/src/HOL/Tools/TFL/utils.ML"
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    68
use "~~/src/HOL/Tools/TFL/usyntax.ML"
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    69
use "~~/src/HOL/Tools/TFL/dcterm.ML"
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    70
use "~~/src/HOL/Tools/TFL/thms.ML"
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    71
use "~~/src/HOL/Tools/TFL/rules.ML"
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    72
use "~~/src/HOL/Tools/TFL/thry.ML"
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    73
use "~~/src/HOL/Tools/TFL/tfl.ML"
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    74
use "~~/src/HOL/Tools/TFL/post.ML"
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    75
use "~~/src/HOL/Tools/recdef.ML"
31723
f5cafe803b55 discontinued ancient tradition to suffix certain ML module names with "_package"
haftmann
parents: 29654
diff changeset
    76
setup Recdef.setup
6438
e55a1869ed38 'HOL/recdef' theory data;
wenzelm
parents: 5123
diff changeset
    77
44014
88bd7d74a2c1 moved recursion combinator to HOL/Library/Wfrec.thy -- it is so fundamental and well-known that it should survive recdef
krauss
parents: 44013
diff changeset
    78
subsection {* Rule setup *}
32244
a99723d77ae0 moved obsolete same_fst to Recdef.thy
krauss
parents: 31723
diff changeset
    79
9855
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    80
lemmas [recdef_simp] =
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    81
  inv_image_def
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    82
  measure_def
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    83
  lex_prod_def
11284
981ea92a86dd made same_fst recdef_simp
nipkow
parents: 11165
diff changeset
    84
  same_fst_def
9855
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    85
  less_Suc_eq [THEN iffD2]
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    86
23150
073a65f0bc40 moved TFL files to canonical place;
wenzelm
parents: 22622
diff changeset
    87
lemmas [recdef_cong] =
22622
25693088396b Moving "FunDef" up in the HOL development graph, since it is independent from "Recdef" and "Datatype" now.
krauss
parents: 22399
diff changeset
    88
  if_cong let_cong image_cong INT_cong UN_cong bex_cong ball_cong imp_cong
44013
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    89
  map_cong filter_cong takeWhile_cong dropWhile_cong foldl_cong foldr_cong 
9855
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    90
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    91
lemmas [recdef_wf] =
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    92
  wf_trancl
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    93
  wf_less_than
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    94
  wf_lex_prod
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    95
  wf_inv_image
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    96
  wf_measure
44013
5cfc1c36ae97 moved recdef package to HOL/Library/Old_Recdef.thy
krauss
parents: 39302
diff changeset
    97
  wf_measures
9855
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
    98
  wf_pred_nat
10653
55f33da63366 small mods.
nipkow
parents: 10212
diff changeset
    99
  wf_same_fst
9855
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
   100
  wf_empty
709a295731e2 improved recdef setup;
wenzelm
parents: 8303
diff changeset
   101
6438
e55a1869ed38 'HOL/recdef' theory data;
wenzelm
parents: 5123
diff changeset
   102
end