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Xcr0bits

Xcr0bits-p

Recognizer for xcr0bits bit structures.

Signature
(xcr0bits-p x) → *

Definitions and Theorems

Function: xcr0bits-p$inline

(defun xcr0bits-p$inline (x)
  (declare (xargs :guard t))
  (mbe :logic (unsigned-byte-p 64 x)
       :exec (and (natp x)
                  (< x 18446744073709551616))))

Theorem: xcr0bits-p-when-unsigned-byte-p

(defthm xcr0bits-p-when-unsigned-byte-p
  (implies (unsigned-byte-p 64 x)
           (xcr0bits-p x)))

Theorem: unsigned-byte-p-when-xcr0bits-p

(defthm unsigned-byte-p-when-xcr0bits-p
  (implies (xcr0bits-p x)
           (unsigned-byte-p 64 x)))

Theorem: xcr0bits-p-compound-recognizer

(defthm xcr0bits-p-compound-recognizer
  (implies (xcr0bits-p x) (natp x))
  :rule-classes :compound-recognizer)