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    • Ia32e-paging

    Page-present

    Signature
    (page-present entry) → bit
    Returns
    bit — Type (unsigned-byte-p 1 bit).

    Definitions and Theorems

    Function: page-present

    (defun page-present (entry)
      (declare (type (unsigned-byte 64) entry))
      (let ((__function__ 'page-present))
        (declare (ignorable __function__))
        (ia32e-page-tablesbits->p entry)))

    Theorem: return-type-of-page-present

    (defthm return-type-of-page-present
      (b* ((bit (page-present entry)))
        (unsigned-byte-p 1 bit))
      :rule-classes :rewrite)

    Theorem: n01p-page-present

    (defthm n01p-page-present
     (unsigned-byte-p 1 (page-present val))
     :rule-classes
     (:rewrite
      (:type-prescription
         :corollary (bitp (page-present val))
         :hints
         (("Goal"
               :in-theory
               '(unsigned-byte-p integer-range-p natp bitp (:e expt)))))
      (:linear
       :corollary (and (<= 0 (page-present val))
                       (< (page-present val) 2))
       :hints
       (("Goal"
            :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))