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Lucid

Vl-lucid-z-expr-p

Signature
(vl-lucid-z-expr-p x) → *
Arguments: x — Guard (vl-expr-p x).

Definitions and Theorems

Function: vl-lucid-z-expr-p

(defun vl-lucid-z-expr-p (x)
  (declare (xargs :guard (vl-expr-p x)))
  (let ((__function__ 'vl-lucid-z-expr-p))
    (declare (ignorable __function__))
    (or (vl-zatom-p x)
        (vl-expr-case x
                      :vl-qmark (or (vl-zatom-p x.then)
                                    (vl-zatom-p x.else))
                      :otherwise nil))))

Theorem: vl-lucid-z-expr-p-of-vl-expr-fix-x

(defthm vl-lucid-z-expr-p-of-vl-expr-fix-x
  (equal (vl-lucid-z-expr-p (vl-expr-fix x))
         (vl-lucid-z-expr-p x)))

Theorem: vl-lucid-z-expr-p-vl-expr-equiv-congruence-on-x

(defthm vl-lucid-z-expr-p-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-lucid-z-expr-p x)
                  (vl-lucid-z-expr-p x-equiv)))
  :rule-classes :congruence)