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Aig-symbolic-arithmetic

Sv::aig-lognot-s

Signature
(sv::aig-lognot-s x) → nx
Arguments: x — Guard (true-listp x).
Returns: nx — Type (true-listp nx).

Definitions and Theorems

Function: aig-lognot-s

(defun sv::aig-lognot-s (x)
  (declare (xargs :guard (true-listp x)))
  (let ((__function__ 'sv::aig-lognot-s))
    (declare (ignorable __function__))
    (b* (((mv head tail end) (first/rest/end x))
         ((when end)
          (sv::aig-sterm (acl2::aig-not head))))
      (sv::aig-scons (acl2::aig-not head)
                     (sv::aig-lognot-s tail)))))

Theorem: true-listp-of-aig-lognot-s

(defthm sv::true-listp-of-aig-lognot-s
  (b* ((nx (sv::aig-lognot-s x)))
    (true-listp nx))
  :rule-classes :type-prescription)

Theorem: aig-lognot-s-correct

(defthm sv::aig-lognot-s-correct
  (b* ((nx (sv::aig-lognot-s x)))
    (and (equal (sv::aig-list->s nx env)
                (lognot (sv::aig-list->s x env))))))