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Cutinfo

Cutinfo-p

Recognizer for cutinfo bit structures.

Signature
(cutinfo-p x) → *

Definitions and Theorems

Function: cutinfo-p

(defun cutinfo-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'cutinfo-p))
    (declare (ignorable __function__))
    (and (mbe :logic (unsigned-byte-p 32 x)
              :exec (and (natp x) (< x 4294967296)))
         (cutsize-p (part-select x :low 16 :width 3)))))

Theorem: unsigned-byte-p-when-cutinfo-p

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

Theorem: cutinfo-p-compound-recognizer

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