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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)