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Lhs-addr-p

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

Definitions and Theorems

Function: lhs-addr-p

(defun lhs-addr-p (x)
  (declare (xargs :guard (lhs-p x)))
  (let ((__function__ 'lhs-addr-p))
    (declare (ignorable __function__))
    (mbe :logic (svarlist-addr-p (lhs-vars x))
         :exec
         (if (atom x)
             t
           (and (lhatom-addr-p (lhrange->atom (car x)))
                (lhs-addr-p (cdr x)))))))

Theorem: lhs-addr-p-of-lhs-fix-x

(defthm lhs-addr-p-of-lhs-fix-x
  (equal (lhs-addr-p (lhs-fix x))
         (lhs-addr-p x)))

Theorem: lhs-addr-p-lhs-equiv-congruence-on-x

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