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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 "formulas-1")
(%interactive)
(%autoprove forcing-logic.termp-of-logic.=lhs
(%enable default logic.fmtype logic.=lhs)
(%restrict default logic.formulap (equal x 'x)))
(%autoprove forcing-logic.termp-of-logic.=rhs
(%enable default logic.fmtype logic.=rhs)
(%restrict default logic.formulap (equal x 'x))
(%disable default forcing-logic.termp-of-logic.=lhs))
(%autoprove forcing-logic.formulap-of-logic.~arg
(%enable default logic.fmtype logic.~arg)
(%restrict default logic.formulap (equal x 'x))
(%disable default forcing-logic.termp-of-logic.=lhs
forcing-logic.termp-of-logic.=rhs))
(%autoprove forcing-logic.formulap-of-logic.vlhs
(%enable default logic.fmtype logic.vlhs)
(%restrict default logic.formulap (equal x 'x))
(%disable default
forcing-logic.termp-of-logic.=lhs
forcing-logic.termp-of-logic.=rhs
forcing-logic.formulap-of-logic.~arg))
(%autoprove forcing-logic.formulap-of-logic.vrhs
(%enable default logic.fmtype logic.vrhs)
(%restrict default logic.formulap (equal x 'x))
(%disable default
forcing-logic.termp-of-logic.=lhs
forcing-logic.termp-of-logic.=rhs
forcing-logic.formulap-of-logic.~arg
forcing-logic.formulap-of-logic.vlhs))
(%autoprove forcing-logic.formulap-of-logic.pequal
(%enable default logic.pequal)
(%restrict default logic.formulap (equal x '(cons 'pequal* (cons a (cons b 'nil))))))
(%autoprove forcing-logic.formulap-of-logic.pnot
(%enable default logic.pnot)
(%restrict default logic.formulap (equal x '(cons 'pnot* (cons a 'nil)))))
(%autoprove forcing-logic.formulap-of-logic.por
(%enable default logic.por)
(%restrict default logic.formulap (equal x '(cons 'por* (cons a (cons b 'nil))))))
(%autoprove logic.fmtype-of-logic.pequal
(%enable default logic.fmtype logic.pequal))
(%autoprove logic.fmtype-of-logic.pnot
(%enable default logic.fmtype logic.pnot))
(%autoprove logic.fmtype-of-logic.por
(%enable default logic.fmtype logic.por))
(%autoprove logic.=lhs-of-logic.pequal
(%enable default logic.=lhs logic.pequal))
(%autoprove logic.=rhs-of-logic.pequal
(%enable default logic.=rhs logic.pequal))
(%autoprove logic.~arg-of-logic.pnot
(%enable default logic.~arg logic.pnot))
(%autoprove logic.vlhs-of-logic.por
(%enable default logic.vlhs logic.por))
(%autoprove logic.vrhs-of-logic.por
(%enable default logic.vrhs logic.por))
(%autoprove logic.=lhs-of-logic.pequal-free)
(%autoprove logic.=rhs-of-logic.pequal-free)
(%autoprove logic.fmtype-of-logic.pequal-free)
(%autoprove forcing-equal-of-logic.pequal-rewrite-two
(%auto)
(%enable default logic.fmtype logic.pequal logic.=lhs logic.=rhs)
(%restrict default logic.formulap (equal x 'x))
(%restrict default tuplep (or (equal n ''3) (equal n ''2) (equal n ''1)))
(%auto :strategy (cleanup split crewrite)))
(%autoprove forcing-equal-of-logic.pequal-rewrite)
(%autoprove forcing-equal-of-logic.pnot-rewrite-two
(%enable default logic.fmtype logic.pnot logic.~arg)
(%restrict default logic.formulap (equal x 'x))
(%restrict default tuplep (or (equal n ''2) (equal n ''1)))
(%auto :strategy (cleanup split crewrite)))
(%autoprove forcing-equal-of-logic.pnot-rewrite)
(%autoprove forcing-equal-of-logic.por-rewrite-two
(%enable default logic.fmtype logic.vlhs logic.vrhs logic.por)
(%restrict default logic.formulap (equal x 'x))
(%restrict default tuplep (or (equal n ''3) (equal n ''2) (equal n ''1)))
(%auto :strategy (cleanup split crewrite)))
(%autoprove forcing-equal-of-logic.por-rewrite)
(%autoprove forcing-logic.pnot-of-logic.~arg)
(%autoprove forcing-logic.por-of-logic.vlhs-and-logic.vrhs)
(%autoprove forcing-logic.pequal-of-logic.=lhs-and-logic.=rhs)
(%autoprove equal-logic.pequal-logic.pequal-rewrite
(%enable default logic.pequal))
(%autoprove equal-logic.pnot-logic.pnot-rewrite
(%enable default logic.pnot))
(%autoprove equal-logic.por-logic.por-rewrite
(%enable default logic.por))
|
