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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")
(%interactive)
(defsection build.reflexivity-list
(%autoadmit build.reflexivity-list)
(local (%restrict default build.reflexivity-list (equal x 'x)))
(%autoprove forcing-logic.appeal-listp-of-build.reflexivity-list (%cdr-induction x))
(%autoprove forcing-logic.strip-conclusions-of-build.reflexivity-list (%cdr-induction x))
(%autoprove forcing-logic.proof-listp-of-build.reflexivity-list (%cdr-induction x)))
;; There isn't really any reason to bother optimizing these; the
;; modus-ponens-list steps get optimized in level 3 anyway so these will only
;; be like two steps.
(defsection build.pequal-by-args
(%autoadmit build.pequal-by-args)
(local (%enable default logic.functional-axiom build.pequal-by-args))
(%autoprove forcing-build.pequal-by-args-under-iff)
(%autoprove forcing-logic.appealp-of-build.pequal-by-args)
(%autoprove forcing-logic.conclusion-of-build.pequal-by-args)
(%autoprove forcing-logic.proofp-of-build.pequal-by-args))
(defsection build.disjoined-pequal-by-args
(%autoadmit build.disjoined-pequal-by-args)
(local (%enable default logic.functional-axiom build.disjoined-pequal-by-args))
(%autoprove forcing-build.disjoined-pequal-by-args-under-iff)
(%autoprove forcing-logic.appealp-of-build.disjoined-pequal-by-args)
(%autoprove forcing-logic.conclusion-of-build.disjoined-pequal-by-args)
(%autoprove forcing-logic.proofp-of-build.disjoined-pequal-by-args))
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