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Ia32e-pml4ebits

Ia32e-pml4ebits->res3

Access the |X86ISA|::|RES3| field of a ia32e-pml4ebits bit structure.

Signature
(ia32e-pml4ebits->res3 x) → res3
Arguments: x — Guard (ia32e-pml4ebits-p x).
Returns: res3 — Type (11bits-p res3).

Definitions and Theorems

Function: ia32e-pml4ebits->res3$inline

(defun ia32e-pml4ebits->res3$inline (x)
  (declare (xargs :guard (ia32e-pml4ebits-p x)))
  (mbe :logic
       (let ((x (ia32e-pml4ebits-fix x)))
         (part-select x :low 52 :width 11))
       :exec (the (unsigned-byte 11)
                  (logand (the (unsigned-byte 11) 2047)
                          (the (unsigned-byte 12)
                               (ash (the (unsigned-byte 64) x)
                                    -52))))))

Theorem: 11bits-p-of-ia32e-pml4ebits->res3

(defthm 11bits-p-of-ia32e-pml4ebits->res3
  (b* ((res3 (ia32e-pml4ebits->res3$inline x)))
    (11bits-p res3))
  :rule-classes :rewrite)

Theorem: ia32e-pml4ebits->res3$inline-of-ia32e-pml4ebits-fix-x

(defthm ia32e-pml4ebits->res3$inline-of-ia32e-pml4ebits-fix-x
  (equal (ia32e-pml4ebits->res3$inline (ia32e-pml4ebits-fix x))
         (ia32e-pml4ebits->res3$inline x)))

Theorem: ia32e-pml4ebits->res3$inline-ia32e-pml4ebits-equiv-congruence-on-x

(defthm
 ia32e-pml4ebits->res3$inline-ia32e-pml4ebits-equiv-congruence-on-x
 (implies (ia32e-pml4ebits-equiv x x-equiv)
          (equal (ia32e-pml4ebits->res3$inline x)
                 (ia32e-pml4ebits->res3$inline x-equiv)))
 :rule-classes :congruence)

Theorem: ia32e-pml4ebits->res3-of-ia32e-pml4ebits

(defthm ia32e-pml4ebits->res3-of-ia32e-pml4ebits
  (equal (ia32e-pml4ebits->res3
              (ia32e-pml4ebits p r/w u/s
                               pwt pcd a res1 ps res2 pdpt res3 xd))
         (11bits-fix res3)))

Theorem: ia32e-pml4ebits->res3-of-write-with-mask

(defthm ia32e-pml4ebits->res3-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)
                               9218868437227405312)
                       0))
           (equal (ia32e-pml4ebits->res3 x)
                  (ia32e-pml4ebits->res3 y))))