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Tlb-key

Tlb-key-p

Recognizer for tlb-key bit structures.

Signature
(tlb-key-p x) → *

Definitions and Theorems

Function: tlb-key-p

(defun tlb-key-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'tlb-key-p))
    (declare (ignorable __function__))
    (mbe :logic (unsigned-byte-p 46 x)
         :exec (and (natp x) (< x 70368744177664)))))

Theorem: tlb-key-p-when-unsigned-byte-p

(defthm tlb-key-p-when-unsigned-byte-p
  (implies (unsigned-byte-p 46 x)
           (tlb-key-p x)))

Theorem: unsigned-byte-p-when-tlb-key-p

(defthm unsigned-byte-p-when-tlb-key-p
  (implies (tlb-key-p x)
           (unsigned-byte-p 46 x)))

Theorem: tlb-key-p-compound-recognizer

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