/usr/share/acl2-6.5/books/misc/equal-by-g.lisp is in acl2-books-source 6.5-2.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 | ; equal-by-g.lisp -- theorem for pick-a-point proofs of record equality
;
; Contact:
; Centaur Technology Formal Verification Group
; 7600-C N. Capital of Texas Highway, Suite 300, Austin, TX 78731, USA.
; http://www.centtech.com/
;
; This program is free software; you can redistribute it and/or modify it under
; the terms of the GNU General Public License as published by the Free Software
; Foundation; either version 2 of the License, or (at your option) any later
; version. This program is distributed in the hope that it will be useful but
; WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
; FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
; more details. You should have received a copy of the GNU General Public
; License along with this program; if not, write to the Free Software
; Foundation, Inc., 51 Franklin Street, Suite 500, Boston, MA 02110-1335, USA.
;
; Original author: Jared Davis <jared@centtech.com>
(in-package "ACL2")
(include-book "records")
(local (include-book "equal-by-g-help"))
; This book introduces a generic theorem that can be functionally instantiated
; to carry out pick-a-point proofs that records are equal. The constraint is
; given by the following encapsulate.
(encapsulate
(((equal-by-g-hyp) => *)
((equal-by-g-lhs) => *)
((equal-by-g-rhs) => *))
(local (defun equal-by-g-hyp () nil))
(local (defun equal-by-g-lhs () nil))
(local (defun equal-by-g-rhs () nil))
(defthm equal-by-g-constraint
(implies (equal-by-g-hyp)
(equal (g arbitrary-key (equal-by-g-lhs))
(g arbitrary-key (equal-by-g-rhs))))))
(defthm equal-by-g
(implies (equal-by-g-hyp)
(equal (equal-by-g-lhs)
(equal-by-g-rhs)))
:hints(("Goal"
:in-theory (disable g-worseguy-finds-counterexample
g-worseguy)
:use ((:instance g-worseguy-finds-counterexample
(x (equal-by-g-lhs))
(y (equal-by-g-rhs)))))))
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