1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
|
; Milawa - A Reflective Theorem Prover
; Copyright (C) 2005-2009 Kookamara LLC
;
; Contact:
;
; Kookamara LLC
; 11410 Windermere Meadows
; Austin, TX 78759, USA
; http://www.kookamara.com/
;
; License: (An MIT/X11-style license)
;
; Permission is hereby granted, free of charge, to any person obtaining a
; copy of this software and associated documentation files (the "Software"),
; to deal in the Software without restriction, including without limitation
; the rights to use, copy, modify, merge, publish, distribute, sublicense,
; and/or sell copies of the Software, and to permit persons to whom the
; Software is furnished to do so, subject to the following conditions:
;
; The above copyright notice and this permission notice shall be included in
; all copies or substantial portions of the Software.
;
; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
; IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
; AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
; LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
; FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
; DEALINGS IN THE SOFTWARE.
;
; Original author: Jared Davis <jared@kookamara.com>
(in-package "MILAWA")
(include-book "terms-2")
(%interactive)
(%autoprove logic.term-list-vars-when-not-consp
(%restrict default definition-of-logic.term-list-vars (equal x 'x)))
(%autoprove logic.term-list-vars-of-cons
(%restrict default definition-of-logic.term-list-vars (equal x '(cons a x))))
(%autoprove true-listp-of-logic.term-list-vars
(%cdr-induction x))
(%autoprove true-listp-of-logic.term-vars
(%restrict default definition-of-logic.term-vars (equal x 'x)))
(%autoprove logic.term-vars-when-variable
(%restrict default definition-of-logic.term-vars (equal x 'x)))
(%autoprove logic.term-vars-when-constant
(%restrict default definition-of-logic.term-vars (equal x 'x)))
(%autoprove logic.term-vars-when-bad
(%restrict default definition-of-logic.term-vars (equal x 'x)))
(%autoprove subsetp-of-logic.term-list-vars-of-cdr-with-logic.term-list-vars)
(%autoprove subsetp-of-logic.term-vars-of-car-with-logic.term-list-vars)
(%autoprove logic.term-list-vars-when-logic.variable-listp
(%cdr-induction x))
(encapsulate
()
(%autoprove lemma-for-subsetp-of-logic.term-list-vars-and-remove-duplicates
(%cdr-induction x))
(%autoprove subsetp-of-logic.term-list-vars-and-remove-duplicates
(%cdr-induction x)
(%enable default lemma-for-subsetp-of-logic.term-list-vars-and-remove-duplicates)))
(%autoprove subsetp-of-logic.term-list-vars-and-remove-duplicates-two
(%cdr-induction x))
|
