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Modr/m-p

Recognizer for modr/m bit structures.

Function: modr/m-p$inline

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

Theorem: modr/m-p-when-unsigned-byte-p

(defthm modr/m-p-when-unsigned-byte-p
  (implies (unsigned-byte-p 8 x)
           (modr/m-p x)))

Theorem: unsigned-byte-p-when-modr/m-p

(defthm unsigned-byte-p-when-modr/m-p
  (implies (modr/m-p x)
           (unsigned-byte-p 8 x)))

Theorem: modr/m-p-compound-recognizer

(defthm modr/m-p-compound-recognizer
  (implies (modr/m-p x) (natp x))
  :rule-classes :compound-recognizer)