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Ia32_eferbits

Ia32_eferbits->sce

Access the |X86ISA|::|SCE| field of a ia32_eferbits bit structure.

Signature
(ia32_eferbits->sce x) → sce
Arguments: x — Guard (ia32_eferbits-p x).
Returns: sce — Type (bitp sce).

Definitions and Theorems

Function: ia32_eferbits->sce$inline

(defun ia32_eferbits->sce$inline (x)
  (declare (xargs :guard (ia32_eferbits-p x)))
  (mbe :logic
       (let ((x (ia32_eferbits-fix x)))
         (part-select x :low 0 :width 1))
       :exec (the (unsigned-byte 1)
                  (logand (the (unsigned-byte 1) 1)
                          (the (unsigned-byte 12) x)))))

Theorem: bitp-of-ia32_eferbits->sce

(defthm bitp-of-ia32_eferbits->sce
  (b* ((sce (ia32_eferbits->sce$inline x)))
    (bitp sce))
  :rule-classes :rewrite)

Theorem: ia32_eferbits->sce$inline-of-ia32_eferbits-fix-x

(defthm ia32_eferbits->sce$inline-of-ia32_eferbits-fix-x
  (equal (ia32_eferbits->sce$inline (ia32_eferbits-fix x))
         (ia32_eferbits->sce$inline x)))

Theorem: ia32_eferbits->sce$inline-ia32_eferbits-equiv-congruence-on-x

(defthm
      ia32_eferbits->sce$inline-ia32_eferbits-equiv-congruence-on-x
  (implies (ia32_eferbits-equiv x x-equiv)
           (equal (ia32_eferbits->sce$inline x)
                  (ia32_eferbits->sce$inline x-equiv)))
  :rule-classes :congruence)

Theorem: ia32_eferbits->sce-of-ia32_eferbits

(defthm ia32_eferbits->sce-of-ia32_eferbits
 (equal
      (ia32_eferbits->sce (ia32_eferbits sce res1 lme res2 lma nxe))
      (bfix sce)))

Theorem: ia32_eferbits->sce-of-write-with-mask

(defthm ia32_eferbits->sce-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x ia32_eferbits-equiv-under-mask)
                (ia32_eferbits-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 1) 0))
           (equal (ia32_eferbits->sce x)
                  (ia32_eferbits->sce y))))