/usr/share/acl2-6.3/books/tools/mv-nth.lisp is in acl2-books-source 6.3-5.
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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 | (in-package "ACL2")
(defevaluator eval-for-mv-nth eval-for-mv-nth-list
((mv-nth n x)
(cons a b)))
(defn mv-nth-eval-rec (n x orig)
(declare (xargs :guard (natp n)))
(if (zp n)
(case-match
x
(('cons a . &) a)
(('quote (const . &) . &) (list 'quote const))
(& orig))
(case-match
x
(('cons & d . &) (mv-nth-eval-rec (1- n) d orig))
(('quote const . &) (list 'quote (ec-call (nth n const))))
(& orig))))
(defn mv-nth-eval-fn (x)
(declare (xargs :guard t))
(case-match
x
(('mv-nth ('quote n . &) rst . &)
(if (natp n)
(mv-nth-eval-rec n rst x)
x))
(& x)))
(defthm eval-for-mv-nth-rec-thm
(implies (equal (eval-for-mv-nth x a)
(mv-nth n (eval-for-mv-nth term a)))
(equal (eval-for-mv-nth (mv-nth-eval-rec n term x) a)
(mv-nth n (eval-for-mv-nth term a))))
:hints (("Goal" :induct (mv-nth-eval-rec n term x))))
(defthm mv-nth-cons-meta
(equal (eval-for-mv-nth x a)
(eval-for-mv-nth (mv-nth-eval-fn x) a))
:rule-classes ((:meta :trigger-fns (mv-nth))))
(in-theory (disable mv-nth))
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