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Truth5

Truth5-p

Recognizer for truth5 bit structures.

Signature
(truth5-p x) → *

Definitions and Theorems

Function: truth5-p

(defun truth5-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'truth5-p))
    (declare (ignorable __function__))
    (mbe :logic (unsigned-byte-p 32 x)
         :exec (and (natp x) (< x 4294967296)))))

Theorem: truth5-p-when-unsigned-byte-p

(defthm truth5-p-when-unsigned-byte-p
  (implies (unsigned-byte-p 32 x)
           (truth5-p x)))

Theorem: unsigned-byte-p-when-truth5-p

(defthm unsigned-byte-p-when-truth5-p
  (implies (truth5-p x)
           (unsigned-byte-p 32 x)))

Theorem: truth5-p-compound-recognizer

(defthm truth5-p-compound-recognizer
  (implies (truth5-p x) (natp x))
  :rule-classes :compound-recognizer)