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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 "eqtracep")
(%interactive)
(defsection rw.direct-iff-eqtrace
(%autoadmit rw.direct-iff-eqtrace)
(local (%enable default rw.direct-iff-eqtrace))
(%autoprove forcing-rw.eqtrace->method-of-rw.direct-iff-eqtrace)
(%autoprove forcing-rw.eqtrace->iffp-of-rw.direct-iff-eqtrace)
(%autoprove forcing-rw.eqtrace->subtraces-of-rw.direct-iff-eqtrace)
(%autoprove forcing-rw.eqtracep-of-rw.direct-iff-eqtrace)
(%autoprove forcing-rw.eqtrace-atblp-of-rw.direct-iff-eqtrace)
(%autoprove rw.direct-iff-eqtrace-normalize-okp-1)
(%autoprove rw.direct-iff-eqtrace-normalize-okp-2)
(%autoprove rw.direct-iff-eqtrace-normalize-okp-3))
(defsection rw.find-nhyp-for-direct-iff-eqtracep
(%autoadmit rw.find-nhyp-for-direct-iff-eqtracep)
(local (%restrict default rw.find-nhyp-for-direct-iff-eqtracep (equal nhyps 'nhyps)))
(%autoprove rw.find-nhyp-for-direct-iff-eqtracep-of-nil
(%restrict default rw.find-nhyp-for-direct-iff-eqtracep (equal nhyps ''nil)))
(%autoprove forcing-logic.termp-of-rw.find-nhyp-for-direct-iff-eqtracep
(%cdr-induction nhyps))
(%autoprove forcing-logic.term-atblp-of-rw.find-nhyp-for-direct-iff-eqtracep
(%cdr-induction nhyps))
(%autoprove forcing-memberp-of-rw.find-nhyp-for-direct-iff-eqtracep
(%cdr-induction nhyps))
(%autoprove forcing-rw.direct-iff-eqtrace-of-rw.find-nhyp-for-direct-iff-eqtracep
(%cdr-induction nhyps)))
(defsection rw.direct-iff-eqtrace-okp
(%autoadmit rw.direct-iff-eqtrace-okp)
(local (%enable default rw.direct-iff-eqtrace-okp))
(%autoprove booleanp-of-rw.direct-iff-eqtrace-okp)
(%autoprove lemma-for-forcing-rw.direct-iff-eqtrace-okp-rw.direct-iff-eqtrace
(%restrict default rw.find-nhyp-for-direct-iff-eqtracep (equal nhyps 'nhyps))
(%cdr-induction nhyps))
(%autoprove forcing-rw.direct-iff-eqtrace-okp-rw.direct-iff-eqtrace
(%enable default lemma-for-forcing-rw.direct-iff-eqtrace-okp-rw.direct-iff-eqtrace)
(%disable default rw.direct-iff-eqtrace-normalize-okp-1)))
(%ensure-exactly-these-rules-are-missing "../../rewrite/assms/direct-iff-eqtrace")
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