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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")
(set-verify-guards-eagerness 2)
(set-case-split-limitations nil)
(set-well-founded-relation ord<)
(set-measure-function rank)
(%autoadmit clause.casesplit)
(%autoprove clause.casesplit-when-not-consp
(%restrict default clause.casesplit (equal cases 'cases)))
(%autoprove clause.casesplit-of-cons
(%restrict default clause.casesplit (equal cases '(cons a cases))))
(defmacro %clause.cases-induction (cases assignment)
`(%induct (rank ,cases)
((not (consp ,cases))
nil)
((consp ,cases)
(((,cases (cdr ,cases)) (,assignment (update (car ,cases) t ,assignment)))
((,cases (cdr ,cases)) (,assignment (update (car ,cases) nil ,assignment)))))))
(%autoprove forcing-logic.termp-of-clause.casesplit
(%clause.cases-induction cases assignment))
(%autoprove forcing-logic.term-atblp-of-clause.casesplit
(%clause.cases-induction cases assignment))
(%autoadmit clause.cases)
(%autoprove clause.cases-when-not-consp
(%restrict default clause.cases (equal cases 'cases)))
(%autoprove clause.cases-of-cons
(%restrict default clause.cases (equal cases '(cons a cases))))
(%autoprove consp-of-clause.cases
(%clause.cases-induction cases assignment))
(%autoprove domain-of-clause.cases
(%clause.cases-induction cases baseassign))
(%autoprove clause.simple-term-listp-of-domain-of-clause.cases)
(%autoprove disjoint-from-nonep-of-domain-of-clause.cases)
(%ensure-exactly-these-rules-are-missing "../../clauses/if-lifting/casesplit")
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