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Ubyte32

Ubyte32p

Recognizer for ubyte32.

Signature
(ubyte32p x) → yes/no
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: ubyte32p

(defun ubyte32p (x)
  (declare (xargs :guard t))
  (mbe :logic (unsigned-byte-p 32 x)
       :exec (and (integerp x)
                  (<= 0 x)
                  (< x 4294967296))))

Theorem: booleanp-of-ubyte32p

(defthm booleanp-of-ubyte32p
  (b* ((yes/no (ubyte32p x)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: ubyte32p-forward-unsigned-byte-p

(defthm ubyte32p-forward-unsigned-byte-p
  (implies (ubyte32p x)
           (unsigned-byte-p 32 x))
  :rule-classes :forward-chaining)

Theorem: unsigned-byte-p-rewrite-ubyte32p

(defthm unsigned-byte-p-rewrite-ubyte32p
  (equal (unsigned-byte-p 32 x)
         (ubyte32p x)))

Theorem: natp-when-ubyte32p

(defthm natp-when-ubyte32p
  (implies (ubyte32p x) (natp x))
  :rule-classes :compound-recognizer)