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Ia32_eferbits

!ia32_eferbits->lma

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

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

Definitions and Theorems

Function: !ia32_eferbits->lma$inline

(defun !ia32_eferbits->lma$inline (lma x)
 (declare (xargs :guard (and (bitp lma) (ia32_eferbits-p x))))
 (mbe :logic
      (b* ((lma (mbe :logic (bfix lma) :exec lma))
           (x (ia32_eferbits-fix x)))
        (part-install lma x :width 1 :low 10))
      :exec (the (unsigned-byte 12)
                 (logior (the (unsigned-byte 12)
                              (logand (the (unsigned-byte 12) x)
                                      (the (signed-byte 12) -1025)))
                         (the (unsigned-byte 11)
                              (ash (the (unsigned-byte 1) lma)
                                   10))))))

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

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

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

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

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

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

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

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

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

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

Theorem: !ia32_eferbits->lma-is-ia32_eferbits

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

Theorem: ia32_eferbits->lma-of-!ia32_eferbits->lma

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

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

(defthm !ia32_eferbits->lma-equiv-under-mask
  (b* ((?new-x (!ia32_eferbits->lma$inline lma x)))
    (ia32_eferbits-equiv-under-mask new-x x -1025)))