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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 "terms")
(%interactive)
(%autoadmit logic.flag-substitute)
(%autoadmit logic.substitute)
(%autoadmit logic.substitute-list)
(%autoprove definition-of-logic.substitute
(%enable default logic.substitute logic.substitute-list)
(%restrict default logic.flag-substitute (equal x 'x)))
(%autoprove definition-of-logic.substitute-list
(%enable default logic.substitute logic.substitute-list)
(%restrict default logic.flag-substitute (equal x 'x)))
(%autoprove logic.flag-substitute-of-term
(%enable default logic.substitute))
(%autoprove logic.flag-substitute-of-term-list
(%enable default logic.substitute-list))
(%autoprove logic.substitute-when-malformed-cheap
;; BOZO this rule says it's cheap, but it doesn't have any backchain limits here or
;; in the ACL2 model!
(%restrict default definition-of-logic.substitute (equal x 'x)))
(%autoprove logic.substitute-list-when-not-consp
(%restrict default definition-of-logic.substitute-list (equal x 'x)))
(%autoprove logic.substitute-list-of-cons
(%restrict default definition-of-logic.substitute-list (equal x '(cons a x))))
(%defprojection :list (logic.substitute-list x sigma)
:element (logic.substitute x sigma)
:nil-preservingp t)
(%autoprove logic.substitute-when-logic.constantp
(%restrict default definition-of-logic.substitute (equal x 'x)))
(%autoprove logic.substitute-when-logic.variablep
(%restrict default definition-of-logic.substitute (equal x 'x)))
(%autoprove logic.substitute-when-logic.functionp-cheap
(%restrict default definition-of-logic.substitute (equal x 'x)))
(%autoprove logic.substitute-when-logic.lambdap-cheap
(%restrict default definition-of-logic.substitute (equal x 'x)))
(%autoprove forcing-logic.substitute-of-logic.function)
(%autoprove forcing-logic.function-name-of-logic.substitute
(%restrict default definition-of-logic.substitute (equal x 'x)))
(%autoprove forcing-logic.function-args-of-logic.substitute
(%restrict default definition-of-logic.substitute (equal x 'x)))
(%autoprove forcing-logic.substitute-of-logic.lambda
;; BOZO this should not be named `forcing` since there are no hyps
(%disable default forcing-logic.termp-of-logic.lambda)
(%restrict default definition-of-logic.substitute (equal x 'x)))
(%autoprove forcing-logic.lambda-formals-of-logic.substitute
(%restrict default definition-of-logic.substitute (equal x 'x)))
(%autoprove forcing-logic.lambda-body-of-logic.substitute
(%restrict default definition-of-logic.substitute (equal x 'x)))
(%autoprove forcing-logic.lambda-actuals-of-logic.substitute
(%restrict default definition-of-logic.substitute (equal x 'x)))
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