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; ACL2 String Library
; Copyright (C) 2009-2013 Centaur Technology
;
; Contact:
; Centaur Technology Formal Verification Group
; 7600-C N. Capital of Texas Highway, Suite 300, Austin, TX 78731, USA.
; http://www.centtech.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@centtech.com>
;
; Additional Copyright Notice.
;
; This file is adapted from the Unicode library, Copyright (C) 2005-2013 by
; Kookamara LLC, which is also available under an MIT/X11 style license.
(in-package "STR")
(include-book "char-fix")
(local (include-book "std/lists/append" :dir :system))
(in-theory (disable make-character-list))
(defsection std/strings/make-character-list
:parents (coercion make-character-list)
:short "Lemmas about @(see make-character-list) in the @(see std/strings)
library."
:long "<p>This function is normally not anything you would ever want to use.
It is notable mainly for the role it plays in the completion axiom for @(see
coerce).</p>"
(local (in-theory (enable make-character-list)))
(defthm make-character-list-when-atom
(implies (atom x)
(equal (make-character-list x)
nil)))
(defthm make-character-list-of-cons
(equal (make-character-list (cons a x))
(cons (char-fix a)
(make-character-list x))))
(defthm consp-of-make-character-list
(equal (consp (make-character-list x))
(consp x)))
(defthm make-character-list-under-iff
(iff (make-character-list x)
(consp x)))
(defthm len-of-make-character-list
(equal (len (make-character-list x))
(len x)))
(defthm make-character-list-when-character-listp
(implies (character-listp x)
(equal (make-character-list x)
x)))
(defthm character-listp-of-make-character-list
(character-listp (make-character-list x)))
(defthm make-character-list-of-append
(equal (make-character-list (append x y))
(append (make-character-list x)
(make-character-list y))))
(defthm make-character-list-of-revappend
(equal (make-character-list (revappend x y))
(revappend (make-character-list x)
(make-character-list y)))))
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