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A4vec-constantp

Signature
(a4vec-constantp x) → *
Arguments: x — Guard (a4vec-p x).

Definitions and Theorems

Function: a4vec-constantp

(defun a4vec-constantp (x)
  (declare (xargs :guard (a4vec-p x)))
  (let ((__function__ 'a4vec-constantp))
    (declare (ignorable __function__))
    (b* (((a4vec x)))
      (and (boolean-listp x.upper)
           (boolean-listp x.lower)))))

Theorem: a4vec-constantp-of-a4vec-fix-x

(defthm a4vec-constantp-of-a4vec-fix-x
  (equal (a4vec-constantp (a4vec-fix x))
         (a4vec-constantp x)))

Theorem: a4vec-constantp-a4vec-equiv-congruence-on-x

(defthm a4vec-constantp-a4vec-equiv-congruence-on-x
  (implies (a4vec-equiv x x-equiv)
           (equal (a4vec-constantp x)
                  (a4vec-constantp x-equiv)))
  :rule-classes :congruence)