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Ia32e-pml4ebits

Ia32e-pml4ebits->pdpt

Access the |X86ISA|::|PDPT| field of a ia32e-pml4ebits bit structure.

Signature
(ia32e-pml4ebits->pdpt x) → pdpt
Arguments: x — Guard (ia32e-pml4ebits-p x).
Returns: pdpt — Type (40bits-p pdpt).

Definitions and Theorems

Function: ia32e-pml4ebits->pdpt$inline

(defun ia32e-pml4ebits->pdpt$inline (x)
  (declare (xargs :guard (ia32e-pml4ebits-p x)))
  (mbe :logic
       (let ((x (ia32e-pml4ebits-fix x)))
         (part-select x :low 12 :width 40))
       :exec (the (unsigned-byte 40)
                  (logand (the (unsigned-byte 40) 1099511627775)
                          (the (unsigned-byte 52)
                               (ash (the (unsigned-byte 64) x)
                                    -12))))))

Theorem: 40bits-p-of-ia32e-pml4ebits->pdpt

(defthm 40bits-p-of-ia32e-pml4ebits->pdpt
  (b* ((pdpt (ia32e-pml4ebits->pdpt$inline x)))
    (40bits-p pdpt))
  :rule-classes :rewrite)

Theorem: ia32e-pml4ebits->pdpt$inline-of-ia32e-pml4ebits-fix-x

(defthm ia32e-pml4ebits->pdpt$inline-of-ia32e-pml4ebits-fix-x
  (equal (ia32e-pml4ebits->pdpt$inline (ia32e-pml4ebits-fix x))
         (ia32e-pml4ebits->pdpt$inline x)))

Theorem: ia32e-pml4ebits->pdpt$inline-ia32e-pml4ebits-equiv-congruence-on-x

(defthm
 ia32e-pml4ebits->pdpt$inline-ia32e-pml4ebits-equiv-congruence-on-x
 (implies (ia32e-pml4ebits-equiv x x-equiv)
          (equal (ia32e-pml4ebits->pdpt$inline x)
                 (ia32e-pml4ebits->pdpt$inline x-equiv)))
 :rule-classes :congruence)

Theorem: ia32e-pml4ebits->pdpt-of-ia32e-pml4ebits

(defthm ia32e-pml4ebits->pdpt-of-ia32e-pml4ebits
  (equal (ia32e-pml4ebits->pdpt
              (ia32e-pml4ebits p r/w u/s
                               pwt pcd a res1 ps res2 pdpt res3 xd))
         (40bits-fix pdpt)))

Theorem: ia32e-pml4ebits->pdpt-of-write-with-mask

(defthm ia32e-pml4ebits->pdpt-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x ia32e-pml4ebits-equiv-under-mask)
                (ia32e-pml4ebits-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask)
                               4503599627366400)
                       0))
           (equal (ia32e-pml4ebits->pdpt x)
                  (ia32e-pml4ebits->pdpt y))))