		Search-engine friendly clone of the ACL2 documentation.

Truth3

Truth3-p

Recognizer for truth3 bit structures.

Signature
(truth3-p x) → *

Definitions and Theorems

Function: truth3-p

(defun truth3-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'truth3-p))
    (declare (ignorable __function__))
    (mbe :logic (unsigned-byte-p 8 x)
         :exec (and (natp x) (< x 256)))))

Theorem: truth3-p-when-unsigned-byte-p

(defthm truth3-p-when-unsigned-byte-p
  (implies (unsigned-byte-p 8 x)
           (truth3-p x)))

Theorem: unsigned-byte-p-when-truth3-p

(defthm unsigned-byte-p-when-truth3-p
  (implies (truth3-p x)
           (unsigned-byte-p 8 x)))

Theorem: truth3-p-compound-recognizer

(defthm truth3-p-compound-recognizer
  (implies (truth3-p x) (natp x))
  :rule-classes :compound-recognizer)