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Cr8bits-p

Recognizer for cr8bits bit structures.

Function: cr8bits-p$inline

(defun cr8bits-p$inline (x)
  (declare (xargs :guard t))
  (mbe :logic (unsigned-byte-p 4 x)
       :exec (and (natp x) (< x 16))))

Theorem: cr8bits-p-when-unsigned-byte-p

(defthm cr8bits-p-when-unsigned-byte-p
  (implies (unsigned-byte-p 4 x)
           (cr8bits-p x)))

Theorem: unsigned-byte-p-when-cr8bits-p

(defthm unsigned-byte-p-when-cr8bits-p
  (implies (cr8bits-p x)
           (unsigned-byte-p 4 x)))

Theorem: cr8bits-p-compound-recognizer

(defthm cr8bits-p-compound-recognizer
  (implies (cr8bits-p x) (natp x))
  :rule-classes :compound-recognizer)