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; 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 "list-list-fix")
(%interactive)
(%autoadmit slow-simple-flatten)
(%autoprove slow-simple-flatten-when-not-consp
(%restrict default slow-simple-flatten (equal x 'x)))
(%autoprove slow-simple-flatten-of-cons
(%restrict default slow-simple-flatten (equal x '(cons a x))))
(%autoadmit fast-simple-flatten$)
(%autoadmit simple-flatten)
(%autoprove lemma-for-definition-of-simple-flatten
(%autoinduct fast-simple-flatten$)
(%restrict default fast-simple-flatten$ (equal x 'x)))
(%autoprove definition-of-simple-flatten
(%enable default simple-flatten lemma-for-definition-of-simple-flatten))
(%autoprove simple-flatten-when-not-consp
(%restrict default definition-of-simple-flatten (equal x 'x)))
(%autoprove simple-flatten-of-cons
(%restrict default definition-of-simple-flatten (equal x '(cons a x))))
(%autoprove true-listp-of-simple-flatten
(%cdr-induction x))
(%autoprove simple-flatten-of-list-fix
(%cdr-induction x))
(%autoprove simple-flatten-of-app
(%cdr-induction x))
(%autoprove simple-flatten-of-list-list-fix
(%cdr-induction x))
(%autoprove forcing-fast-simple-flatten$-removal
(%autoinduct fast-simple-flatten$)
(%restrict default fast-simple-flatten$ (equal x 'x)))
(%autoadmit fast-simple-flatten-of-domain$)
(%autoprove fast-simple-flatten-of-domain$-removal
(%autoinduct fast-simple-flatten-of-domain$)
(%restrict default fast-simple-flatten-of-domain$ (equal x 'x)))
(%autoadmit fast-simple-flatten-of-range$)
(%autoprove fast-simple-flatten-of-range$-removal
(%autoinduct fast-simple-flatten-of-range$)
(%restrict default fast-simple-flatten-of-range$ (equal x 'x)))
(%ensure-exactly-these-rules-are-missing "../../utilities/simple-flatten")
|
