		Search-engine friendly clone of the ACL2 documentation.

Gatesimp

Gatesimp->level

Access the |AIGNET|::|LEVEL| field of a gatesimp bit structure.

Signature
(gatesimp->level x) → level
Arguments: x — Guard (gatesimp-p x).
Returns: level — Type (gatesimp-level-p level).

Definitions and Theorems

Function: gatesimp->level

(defun gatesimp->level (x)
 (declare (xargs :guard (gatesimp-p x)))
 (mbe
     :logic
     (let ((x (gatesimp-fix x)))
       (part-select x :low 1 :width 3))
     :exec (the (unsigned-byte 3)
                (logand (the (unsigned-byte 3) 7)
                        (the (unsigned-byte 5)
                             (ash (the (unsigned-byte 6) x) -1))))))

Theorem: gatesimp-level-p-of-gatesimp->level

(defthm gatesimp-level-p-of-gatesimp->level
  (b* ((level (gatesimp->level x)))
    (gatesimp-level-p level))
  :rule-classes :rewrite)

Theorem: gatesimp->level-of-gatesimp-fix-x

(defthm gatesimp->level-of-gatesimp-fix-x
  (equal (gatesimp->level (gatesimp-fix x))
         (gatesimp->level x)))

Theorem: gatesimp->level-gatesimp-equiv-congruence-on-x

(defthm gatesimp->level-gatesimp-equiv-congruence-on-x
  (implies (gatesimp-equiv x x-equiv)
           (equal (gatesimp->level x)
                  (gatesimp->level x-equiv)))
  :rule-classes :congruence)

Theorem: gatesimp->level-of-gatesimp

(defthm gatesimp->level-of-gatesimp
  (equal (gatesimp->level (gatesimp hashp level xor-mode))
         (gatesimp-level-fix level)))

Theorem: gatesimp->level-of-write-with-mask

(defthm gatesimp->level-of-write-with-mask
 (implies
  (and
   (fty::bitstruct-read-over-write-hyps x gatesimp-equiv-under-mask)
   (gatesimp-equiv-under-mask x acl2::y fty::mask)
   (equal (logand (lognot fty::mask) 14)
          0))
  (equal (gatesimp->level x)
         (gatesimp->level acl2::y))))