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Segment-selectorbits

Segment-selectorbits-p

Recognizer for segment-selectorbits bit structures.

Signature
(segment-selectorbits-p x) → *

Definitions and Theorems

Function: segment-selectorbits-p

(defun segment-selectorbits-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'segment-selectorbits-p))
    (declare (ignorable __function__))
    (mbe :logic (unsigned-byte-p 16 x)
         :exec (and (natp x) (< x 65536)))))

Theorem: segment-selectorbits-p-when-unsigned-byte-p

(defthm segment-selectorbits-p-when-unsigned-byte-p
  (implies (unsigned-byte-p 16 x)
           (segment-selectorbits-p x)))

Theorem: unsigned-byte-p-when-segment-selectorbits-p

(defthm unsigned-byte-p-when-segment-selectorbits-p
  (implies (segment-selectorbits-p x)
           (unsigned-byte-p 16 x)))

Theorem: segment-selectorbits-p-compound-recognizer

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