src/HOLCF/Fun1.ML
author paulson
Mon, 23 Sep 1996 18:18:18 +0200
changeset 2010 0a22b9d63a18
parent 1461 6bcb44e4d6e5
child 2033 639de962ded4
permissions -rw-r--r--
Simplification of definition of synth
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
1461
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
     1
(*  Title:      HOLCF/fun1.ML
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     2
    ID:         $Id$
1461
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
     3
    Author:     Franz Regensburger
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     4
    Copyright   1993  Technische Universitaet Muenchen
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     5
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     6
Lemmas for fun1.thy 
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     7
*)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     8
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
     9
open Fun1;
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    10
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    11
(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    12
(* less_fun is a partial order on 'a => 'b                                  *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    13
(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    14
1168
74be52691d62 The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents: 892
diff changeset
    15
qed_goalw "refl_less_fun" Fun1.thy [less_fun_def] "less_fun f f"
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    16
(fn prems =>
1461
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    17
        [
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    18
        (fast_tac (HOL_cs addSIs [refl_less]) 1)
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    19
        ]);
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    20
892
d0dc8d057929 added qed, qed_goal[w]
clasohm
parents: 243
diff changeset
    21
qed_goalw "antisym_less_fun" Fun1.thy [less_fun_def] 
1461
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    22
        "[|less_fun f1 f2; less_fun f2 f1|] ==> f1 = f2"
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    23
(fn prems =>
1461
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    24
        [
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    25
        (cut_facts_tac prems 1),
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    26
        (rtac (expand_fun_eq RS ssubst) 1),
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    27
        (fast_tac (HOL_cs addSIs [antisym_less]) 1)
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    28
        ]);
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    29
892
d0dc8d057929 added qed, qed_goal[w]
clasohm
parents: 243
diff changeset
    30
qed_goalw "trans_less_fun" Fun1.thy [less_fun_def] 
1461
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    31
        "[|less_fun f1 f2; less_fun f2 f3 |] ==> less_fun f1 f3"
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    32
(fn prems =>
1461
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    33
        [
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    34
        (cut_facts_tac prems 1),
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    35
        (strip_tac 1),
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    36
        (rtac trans_less 1),
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    37
        (etac allE 1),
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    38
        (atac 1),
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    39
        ((etac allE 1) THEN (atac 1))
6bcb44e4d6e5 expanded tabs
clasohm
parents: 1168
diff changeset
    40
        ]);
243
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    41
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    42
(* 
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    43
 -------------------------------------------------------------------------- 
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    44
   Since less_fun :: "['a::term=>'b::po,'a::term=>'b::po] => bool" the
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    45
   lemmas refl_less_fun, antisym_less_fun, trans_less_fun justify
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    46
   the class arity fun::(term,po)po !!
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    47
 -------------------------------------------------------------------------- 
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    48
*)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff changeset
    49