File: local-lemmas.lisp

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; RP-REWRITER

; Note: The license below is based on the template at:
; http://opensource.org/licenses/BSD-3-Clause

; Copyright (C) 2019, Regents of the University of Texas
; All rights reserved.

; Redistribution and use in source and binary forms, with or without
; modification, are permitted provided that the following conditions are
; met:

; o Redistributions of source code must retain the above copyright
;   notice, this list of conditions and the following disclaimer.

; o Redistributions in binary form must reproduce the above copyright
;   notice, this list of conditions and the following disclaimer in the
;   documentation and/or other materials provided with the distribution.

; o Neither the name of the copyright holders nor the names of its
;   contributors may be used to endorse or promote products derived
;   from this software without specific prior written permission.

; THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
; "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
; LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
; A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
; HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
; SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
; LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
; DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
; THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
; (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
; OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

; Original Author(s):
; Mertcan Temel         <mert@utexas.edu>

(in-package "RP")
(include-book "tools/flag" :dir :system)


(local (include-book "centaur/meta/def-formula-checks" :dir :system)) ; this could perhaps be reduced

;; lemmas that are to be used locally

;(make-flag pseudo-termp :defthm-macro-name defthm-pseudo-termp)

(defthm cdr-pseudo-termp
  (implies (and
            (not (quotep term))
            (consp term)
            (pseudo-termp term))
           (pseudo-term-listp (cdr term))))

(defthm strip-cdrs-pseudo-termlistp
  (implies
   (PSEUDO-TERM-LISTP (STRIP-CDRS alist))
   (pseudo-termp (cdr (assoc-equal key alist)))))