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A4vec->aiglist

Signature
(a4vec->aiglist x) → lst
Arguments: x — Guard (a4vec-p x).
Returns: lst — Type (true-listp lst).

Definitions and Theorems

Function: a4vec->aiglist

(defun a4vec->aiglist (x)
  (declare (xargs :guard (a4vec-p x)))
  (let ((__function__ 'a4vec->aiglist))
    (declare (ignorable __function__))
    (b* (((a4vec x) x))
      (append x.upper x.lower))))

Theorem: true-listp-of-a4vec->aiglist

(defthm true-listp-of-a4vec->aiglist
  (b* ((lst (a4vec->aiglist x)))
    (true-listp lst))
  :rule-classes :type-prescription)

Theorem: a4vec->aiglist-of-a4vec-fix-x

(defthm a4vec->aiglist-of-a4vec-fix-x
  (equal (a4vec->aiglist (a4vec-fix x))
         (a4vec->aiglist x)))

Theorem: a4vec->aiglist-a4vec-equiv-congruence-on-x

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