		Search-engine friendly clone of the ACL2 documentation.

Cr4bits

!cr4bits->osxsave

Update the |X86ISA|::|OSXSAVE| field of a cr4bits bit structure.

Signature
(!cr4bits->osxsave osxsave x) → new-x
Arguments: osxsave — Guard (bitp osxsave).; x — Guard (cr4bits-p x).
Returns: new-x — Type (cr4bits-p new-x).

Definitions and Theorems

Function: !cr4bits->osxsave$inline

(defun !cr4bits->osxsave$inline (osxsave x)
 (declare (xargs :guard (and (bitp osxsave) (cr4bits-p x))))
 (mbe
    :logic
    (b* ((osxsave (mbe :logic (bfix osxsave)
                       :exec osxsave))
         (x (cr4bits-fix x)))
      (part-install osxsave x
                    :width 1
                    :low 18))
    :exec (the (unsigned-byte 26)
               (logior (the (unsigned-byte 26)
                            (logand (the (unsigned-byte 26) x)
                                    (the (signed-byte 20) -262145)))
                       (the (unsigned-byte 19)
                            (ash (the (unsigned-byte 1) osxsave)
                                 18))))))

Theorem: cr4bits-p-of-!cr4bits->osxsave

(defthm cr4bits-p-of-!cr4bits->osxsave
  (b* ((new-x (!cr4bits->osxsave$inline osxsave x)))
    (cr4bits-p new-x))
  :rule-classes :rewrite)

Theorem: !cr4bits->osxsave$inline-of-bfix-osxsave

(defthm !cr4bits->osxsave$inline-of-bfix-osxsave
  (equal (!cr4bits->osxsave$inline (bfix osxsave)
                                   x)
         (!cr4bits->osxsave$inline osxsave x)))

Theorem: !cr4bits->osxsave$inline-bit-equiv-congruence-on-osxsave

(defthm !cr4bits->osxsave$inline-bit-equiv-congruence-on-osxsave
  (implies (bit-equiv osxsave osxsave-equiv)
           (equal (!cr4bits->osxsave$inline osxsave x)
                  (!cr4bits->osxsave$inline osxsave-equiv x)))
  :rule-classes :congruence)

Theorem: !cr4bits->osxsave$inline-of-cr4bits-fix-x

(defthm !cr4bits->osxsave$inline-of-cr4bits-fix-x
  (equal (!cr4bits->osxsave$inline osxsave (cr4bits-fix x))
         (!cr4bits->osxsave$inline osxsave x)))

Theorem: !cr4bits->osxsave$inline-cr4bits-equiv-congruence-on-x

(defthm !cr4bits->osxsave$inline-cr4bits-equiv-congruence-on-x
  (implies (cr4bits-equiv x x-equiv)
           (equal (!cr4bits->osxsave$inline osxsave x)
                  (!cr4bits->osxsave$inline osxsave x-equiv)))
  :rule-classes :congruence)

Theorem: !cr4bits->osxsave-is-cr4bits

(defthm !cr4bits->osxsave-is-cr4bits
  (equal (!cr4bits->osxsave osxsave x)
         (change-cr4bits x :osxsave osxsave)))

Theorem: cr4bits->osxsave-of-!cr4bits->osxsave

(defthm cr4bits->osxsave-of-!cr4bits->osxsave
  (b* ((?new-x (!cr4bits->osxsave$inline osxsave x)))
    (equal (cr4bits->osxsave new-x)
           (bfix osxsave))))

Theorem: !cr4bits->osxsave-equiv-under-mask

(defthm !cr4bits->osxsave-equiv-under-mask
  (b* ((?new-x (!cr4bits->osxsave$inline osxsave x)))
    (cr4bits-equiv-under-mask new-x x -262145)))