		Search-engine friendly clone of the ACL2 documentation.

Ubyte11p

Recognizer for ubyte11.

Function: ubyte11p

(defun ubyte11p (x)
  (declare (xargs :guard t))
  (mbe :logic (unsigned-byte-p 11 x)
       :exec (and (integerp x) (<= 0 x) (< x 2048))))

Theorem: booleanp-of-ubyte11p

(defthm booleanp-of-ubyte11p
  (b* ((yes/no (ubyte11p x)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: ubyte11p-forward-unsigned-byte-p

(defthm ubyte11p-forward-unsigned-byte-p
  (implies (ubyte11p x)
           (unsigned-byte-p 11 x))
  :rule-classes :forward-chaining)

Theorem: unsigned-byte-p-rewrite-ubyte11p

(defthm unsigned-byte-p-rewrite-ubyte11p
  (equal (unsigned-byte-p 11 x)
         (ubyte11p x)))

Theorem: natp-when-ubyte11p

(defthm natp-when-ubyte11p
  (implies (ubyte11p x) (natp x))
  :rule-classes :compound-recognizer)