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Svmods

Svar-map-addr-p

Signature
(svar-map-addr-p x) → *
Arguments: x — Guard (svar-map-p x).

Definitions and Theorems

Function: svar-map-addr-p

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

Theorem: svar-map-addr-p-of-svar-map-fix-x

(defthm svar-map-addr-p-of-svar-map-fix-x
  (equal (svar-map-addr-p (svar-map-fix x))
         (svar-map-addr-p x)))

Theorem: svar-map-addr-p-svar-map-equiv-congruence-on-x

(defthm svar-map-addr-p-svar-map-equiv-congruence-on-x
  (implies (svar-map-equiv x x-equiv)
           (equal (svar-map-addr-p x)
                  (svar-map-addr-p x-equiv)))
  :rule-classes :congruence)