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Ia32e-paging

Set-dirty-bit

Signature
(set-dirty-bit entry) → d-entry
Returns: d-entry — Type (unsigned-byte-p 64 d-entry).

Definitions and Theorems

Function: set-dirty-bit

(defun set-dirty-bit (entry)
  (declare (type (unsigned-byte 64) entry))
  (let ((__function__ 'set-dirty-bit))
    (declare (ignorable __function__))
    (!ia32e-page-tablesbits->d 1 entry)))

Theorem: return-type-of-set-dirty-bit

(defthm return-type-of-set-dirty-bit
  (b* ((d-entry (set-dirty-bit entry)))
    (unsigned-byte-p 64 d-entry))
  :rule-classes :rewrite)

Theorem: n64p-set-dirty-bit

(defthm n64p-set-dirty-bit
 (unsigned-byte-p 64 (set-dirty-bit val))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (set-dirty-bit val))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (set-dirty-bit val))
                   (< (set-dirty-bit val)
                      18446744073709551616))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))