; 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)

(%deftheorem rw.theorem-iff-implies-pequal-if-1)
(%deftheorem rw.theorem-equal-implies-pequal-if-2)
(%deftheorem rw.theorem-equal-implies-pequal-if-3)

(%deftheorem rw.theorem-iff-implies-equal-if-combined)
(%deftheorem rw.theorem-iff-implies-iff-if-2)
(%deftheorem rw.theorem-iff-implies-iff-if-3)
(%deftheorem rw.theorem-iff-implies-iff-if-combined)

(%deftheorem rw.theorem-iff-implies-equal-if-specialcase-nil)
(%deftheorem rw.theorem-iff-implies-iff-if-specialcase-nil)
(%deftheorem rw.theorem-iff-implies-equal-if-specialcase-t)
(%deftheorem rw.theorem-iff-implies-iff-if-specialcase-t)

(%deftheorem rw.theorem-equal-of-if-x-y-y)
(%deftheorem rw.theorem-iff-of-if-x-y-y)

(%defderiv rw.two-modus-ponens :omit-okp t)
(%defderiv rw.two-disjoined-modus-ponens :omit-okp t)
(%defderiv rw.three-modus-ponens :omit-okp t)
(%defderiv rw.three-disjoined-modus-ponens :omit-okp t)
(%defderiv rw.mp-mp2-mp :omit-okp t)
(%defderiv rw.disjoined-mp-mp2-mp :omit-okp t)

