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Ubyte64

Ubyte64p

Recognizer for ubyte64.

Signature
(ubyte64p x) → yes/no
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: ubyte64p

(defun ubyte64p (x)
  (declare (xargs :guard t))
  (mbe :logic (unsigned-byte-p 64 x)
       :exec (and (integerp x)
                  (<= 0 x)
                  (< x 18446744073709551616))))

Theorem: booleanp-of-ubyte64p

(defthm booleanp-of-ubyte64p
  (b* ((yes/no (ubyte64p x)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: ubyte64p-forward-unsigned-byte-p

(defthm ubyte64p-forward-unsigned-byte-p
  (implies (ubyte64p x)
           (unsigned-byte-p 64 x))
  :rule-classes :forward-chaining)

Theorem: unsigned-byte-p-rewrite-ubyte64p

(defthm unsigned-byte-p-rewrite-ubyte64p
  (equal (unsigned-byte-p 64 x)
         (ubyte64p x)))

Theorem: natp-when-ubyte64p

(defthm natp-when-ubyte64p
  (implies (ubyte64p x) (natp x))
  :rule-classes :compound-recognizer)