		Search-engine friendly clone of the ACL2 documentation.

Ubyte128

Ubyte128p

Recognizer for ubyte128.

Signature
(ubyte128p x) → yes/no
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: ubyte128p

(defun ubyte128p (x)
  (declare (xargs :guard t))
  (mbe :logic (unsigned-byte-p 128 x)
       :exec (and (integerp x)
                  (<= 0 x)
                  (< x
                     340282366920938463463374607431768211456))))

Theorem: booleanp-of-ubyte128p

(defthm booleanp-of-ubyte128p
  (b* ((yes/no (ubyte128p x)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: ubyte128p-forward-unsigned-byte-p

(defthm ubyte128p-forward-unsigned-byte-p
  (implies (ubyte128p x)
           (unsigned-byte-p 128 x))
  :rule-classes :forward-chaining)

Theorem: unsigned-byte-p-rewrite-ubyte128p

(defthm unsigned-byte-p-rewrite-ubyte128p
  (equal (unsigned-byte-p 128 x)
         (ubyte128p x)))

Theorem: natp-when-ubyte128p

(defthm natp-when-ubyte128p
  (implies (ubyte128p x) (natp x))
  :rule-classes :compound-recognizer)