		Search-engine friendly clone of the ACL2 documentation.

S4vecs

S2vec->val

Signature
(s2vec->val x) → *
Arguments: x — Guard (s4vec-p x).

Definitions and Theorems

Function: s2vec->val$inline

(defun s2vec->val$inline (x)
  (declare (xargs :guard (s4vec-p x)))
  (declare (xargs :guard (s2vec-p x)))
  (let ((__function__ 's2vec->val))
    (declare (ignorable __function__))
    (s4vec->upper x)))

Theorem: s2vec->val$inline-of-s4vec-fix-x

(defthm s2vec->val$inline-of-s4vec-fix-x
  (equal (s2vec->val$inline (s4vec-fix x))
         (s2vec->val$inline x)))

Theorem: s2vec->val$inline-s4vec-equiv-congruence-on-x

(defthm s2vec->val$inline-s4vec-equiv-congruence-on-x
  (implies (s4vec-equiv x x-equiv)
           (equal (s2vec->val$inline x)
                  (s2vec->val$inline x-equiv)))
  :rule-classes :congruence)