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Ia32_eferbits

!ia32_eferbits->lme

Update the |X86ISA|::|LME| field of a ia32_eferbits bit structure.

Signature
(!ia32_eferbits->lme lme x) → new-x
Arguments: lme — Guard (bitp lme).; x — Guard (ia32_eferbits-p x).
Returns: new-x — Type (ia32_eferbits-p new-x).

Definitions and Theorems

Function: !ia32_eferbits->lme$inline

(defun !ia32_eferbits->lme$inline (lme x)
 (declare (xargs :guard (and (bitp lme) (ia32_eferbits-p x))))
 (mbe
    :logic
    (b* ((lme (mbe :logic (bfix lme) :exec lme))
         (x (ia32_eferbits-fix x)))
      (part-install lme x :width 1 :low 8))
    :exec (the (unsigned-byte 12)
               (logior (the (unsigned-byte 12)
                            (logand (the (unsigned-byte 12) x)
                                    (the (signed-byte 10) -257)))
                       (the (unsigned-byte 9)
                            (ash (the (unsigned-byte 1) lme) 8))))))

Theorem: ia32_eferbits-p-of-!ia32_eferbits->lme

(defthm ia32_eferbits-p-of-!ia32_eferbits->lme
  (b* ((new-x (!ia32_eferbits->lme$inline lme x)))
    (ia32_eferbits-p new-x))
  :rule-classes :rewrite)

Theorem: !ia32_eferbits->lme$inline-of-bfix-lme

(defthm !ia32_eferbits->lme$inline-of-bfix-lme
  (equal (!ia32_eferbits->lme$inline (bfix lme)
                                     x)
         (!ia32_eferbits->lme$inline lme x)))

Theorem: !ia32_eferbits->lme$inline-bit-equiv-congruence-on-lme

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

Theorem: !ia32_eferbits->lme$inline-of-ia32_eferbits-fix-x

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

Theorem: !ia32_eferbits->lme$inline-ia32_eferbits-equiv-congruence-on-x

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

Theorem: !ia32_eferbits->lme-is-ia32_eferbits

(defthm !ia32_eferbits->lme-is-ia32_eferbits
  (equal (!ia32_eferbits->lme lme x)
         (change-ia32_eferbits x :lme lme)))

Theorem: ia32_eferbits->lme-of-!ia32_eferbits->lme

(defthm ia32_eferbits->lme-of-!ia32_eferbits->lme
  (b* ((?new-x (!ia32_eferbits->lme$inline lme x)))
    (equal (ia32_eferbits->lme new-x)
           (bfix lme))))

Theorem: !ia32_eferbits->lme-equiv-under-mask

(defthm !ia32_eferbits->lme-equiv-under-mask
  (b* ((?new-x (!ia32_eferbits->lme$inline lme x)))
    (ia32_eferbits-equiv-under-mask new-x x -257)))