		Search-engine friendly clone of the ACL2 documentation.

Ia32e-page-tablesbits

Ia32e-page-tablesbits->res2

Access the |X86ISA|::|RES2| field of a ia32e-page-tablesbits bit structure.

Signature
(ia32e-page-tablesbits->res2 x) → res2
Arguments: x — Guard (ia32e-page-tablesbits-p x).
Returns: res2 — Type (11bits-p res2).

Definitions and Theorems

Function: ia32e-page-tablesbits->res2$inline

(defun ia32e-page-tablesbits->res2$inline (x)
  (declare (xargs :guard (ia32e-page-tablesbits-p x)))
  (mbe :logic
       (let ((x (ia32e-page-tablesbits-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-page-tablesbits->res2

(defthm 11bits-p-of-ia32e-page-tablesbits->res2
  (b* ((res2 (ia32e-page-tablesbits->res2$inline x)))
    (11bits-p res2))
  :rule-classes :rewrite)

Theorem: ia32e-page-tablesbits->res2$inline-of-ia32e-page-tablesbits-fix-x

(defthm
  ia32e-page-tablesbits->res2$inline-of-ia32e-page-tablesbits-fix-x
 (equal
  (ia32e-page-tablesbits->res2$inline (ia32e-page-tablesbits-fix x))
  (ia32e-page-tablesbits->res2$inline x)))

Theorem: ia32e-page-tablesbits->res2$inline-ia32e-page-tablesbits-equiv-congruence-on-x

(defthm
 ia32e-page-tablesbits->res2$inline-ia32e-page-tablesbits-equiv-congruence-on-x
 (implies (ia32e-page-tablesbits-equiv x x-equiv)
          (equal (ia32e-page-tablesbits->res2$inline x)
                 (ia32e-page-tablesbits->res2$inline x-equiv)))
 :rule-classes :congruence)

Theorem: ia32e-page-tablesbits->res2-of-ia32e-page-tablesbits

(defthm ia32e-page-tablesbits->res2-of-ia32e-page-tablesbits
 (equal
  (ia32e-page-tablesbits->res2
     (ia32e-page-tablesbits p r/w u/s pwt
                            pcd a d ps res1 reference-addr res2 xd))
  (11bits-fix res2)))

Theorem: ia32e-page-tablesbits->res2-of-write-with-mask

(defthm ia32e-page-tablesbits->res2-of-write-with-mask
  (implies
       (and (fty::bitstruct-read-over-write-hyps
                 x
                 ia32e-page-tablesbits-equiv-under-mask)
            (ia32e-page-tablesbits-equiv-under-mask x y fty::mask)
            (equal (logand (lognot fty::mask)
                           9218868437227405312)
                   0))
       (equal (ia32e-page-tablesbits->res2 x)
              (ia32e-page-tablesbits->res2 y))))