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Vex2-byte1-p

Recognizer for vex2-byte1 bit structures.

Function: vex2-byte1-p$inline

(defun vex2-byte1-p$inline (x)
  (declare (xargs :guard t))
  (mbe :logic (unsigned-byte-p 8 x)
       :exec (and (natp x) (< x 256))))

Theorem: vex2-byte1-p-when-unsigned-byte-p

(defthm vex2-byte1-p-when-unsigned-byte-p
  (implies (unsigned-byte-p 8 x)
           (vex2-byte1-p x)))

Theorem: unsigned-byte-p-when-vex2-byte1-p

(defthm unsigned-byte-p-when-vex2-byte1-p
  (implies (vex2-byte1-p x)
           (unsigned-byte-p 8 x)))

Theorem: vex2-byte1-p-compound-recognizer

(defthm vex2-byte1-p-compound-recognizer
  (implies (vex2-byte1-p x) (natp x))
  :rule-classes :compound-recognizer)