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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 "proofp-3-provablep")
(include-book "proofp-3-subproofs")
(%interactive)
(%autoprove lemma-main-for-forcing-logic.provablep-when-logic.subproofs-provable
(%restrict default definition-of-logic.proofp
(equal x '(logic.appeal (logic.method x)
(logic.conclusion x)
(logic.provable-list-witness (logic.strip-conclusions (logic.subproofs x))
axioms thms atbl)
(logic.extras x))))
(%enable default lemma-appeal-step-for-forcing-logic.provablep-when-logic.subproofs-provable))
(%autoprove forcing-logic.provablep-when-logic.subproofs-provable
(%use (%instance (%thm forcing-logic.provablep-when-logic.proofp)
(x (logic.appeal (logic.method x)
(logic.conclusion x)
(logic.provable-list-witness (logic.strip-conclusions (logic.subproofs x))
axioms thms atbl)
(logic.extras x)))))
(%enable default lemma-main-for-forcing-logic.provablep-when-logic.subproofs-provable))
(%autoprove logic.formula-list-atblp-of-logic.strip-conclusions-of-cdr-when-logic.provable-listp)
(%autoprove logic.provable-listp-of-logic.strip-conclusions-when-provable-first-and-rest)
(%ensure-exactly-these-rules-are-missing "../../logic/proofp"
;; We don't have skip-okp here.
logic.formula-atblp-of-logic.conclusion-when-logic.skip-okp
booleanp-of-logic.skip-okp)
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