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Bit-blasting

A4veclist->aiglist

Signature
(a4veclist->aiglist x) → aigs
Arguments: x — Guard (a4veclist-p x).
Returns: aigs — Type (true-listp aigs).

Definitions and Theorems

Function: a4veclist->aiglist

(defun a4veclist->aiglist (x)
  (declare (xargs :guard (a4veclist-p x)))
  (let ((__function__ 'a4veclist->aiglist))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (append (a4vec->aiglist (car x))
              (a4veclist->aiglist (cdr x))))))

Theorem: true-listp-of-a4veclist->aiglist

(defthm true-listp-of-a4veclist->aiglist
  (b* ((aigs (a4veclist->aiglist x)))
    (true-listp aigs))
  :rule-classes :type-prescription)

Theorem: a4veclist->aiglist-of-a4veclist-fix-x

(defthm a4veclist->aiglist-of-a4veclist-fix-x
  (equal (a4veclist->aiglist (a4veclist-fix x))
         (a4veclist->aiglist x)))

Theorem: a4veclist->aiglist-a4veclist-equiv-congruence-on-x

(defthm a4veclist->aiglist-a4veclist-equiv-congruence-on-x
  (implies (a4veclist-equiv x x-equiv)
           (equal (a4veclist->aiglist x)
                  (a4veclist->aiglist x-equiv)))
  :rule-classes :congruence)