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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)