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Gatesimp

Gatesimp-p

Recognizer for gatesimp bit structures.

Signature
(gatesimp-p x) → *

Definitions and Theorems

Function: gatesimp-p

(defun gatesimp-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'gatesimp-p))
    (declare (ignorable __function__))
    (and (mbe :logic (unsigned-byte-p 6 x)
              :exec (and (natp x) (< x 64)))
         (gatesimp-level-p (part-select x :low 1 :width 3))
         (gatesimp-xor-mode-p (part-select x :low 4 :width 2)))))

Theorem: unsigned-byte-p-when-gatesimp-p

(defthm unsigned-byte-p-when-gatesimp-p
  (implies (gatesimp-p x)
           (unsigned-byte-p 6 x)))

Theorem: gatesimp-p-compound-recognizer

(defthm gatesimp-p-compound-recognizer
  (implies (gatesimp-p x) (natp x))
  :rule-classes :compound-recognizer)