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Svex-alist-addr-p

Signature
(svex-alist-addr-p x) → *
Arguments: x — Guard (svex-alist-p x).

Definitions and Theorems

Function: svex-alist-addr-p

(defun svex-alist-addr-p (x)
       (declare (xargs :guard (svex-alist-p x)))
       (let ((__function__ 'svex-alist-addr-p))
            (declare (ignorable __function__))
            (mbe :logic (and (svarlist-addr-p (svex-alist-vars x))
                             (svarlist-addr-p (svex-alist-keys x)))
                 :exec (b* ((x (svex-alist-fix x))
                            ((when (atom x)) t))
                           (and (svar-addr-p (caar x))
                                (svex-addr-p (cdar x))
                                (svex-alist-addr-p (cdr x)))))))

Theorem: svex-alist-addr-p-of-svex-alist-fix-x

(defthm svex-alist-addr-p-of-svex-alist-fix-x
        (equal (svex-alist-addr-p (svex-alist-fix x))
               (svex-alist-addr-p x)))

Theorem: svex-alist-addr-p-svex-alist-equiv-congruence-on-x

(defthm svex-alist-addr-p-svex-alist-equiv-congruence-on-x
        (implies (svex-alist-equiv x x-equiv)
                 (equal (svex-alist-addr-p x)
                        (svex-alist-addr-p x-equiv)))
        :rule-classes :congruence)