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Xcr0bits

!xcr0bits->zmm_hi256-state

Update the |X86ISA|::|ZMM_HI256-STATE| field of a xcr0bits bit structure.

Signature
(!xcr0bits->zmm_hi256-state zmm_hi256-state x) → new-x
Arguments: zmm_hi256-state — Guard (bitp zmm_hi256-state).; x — Guard (xcr0bits-p x).
Returns: new-x — Type (xcr0bits-p new-x).

Definitions and Theorems

Function: !xcr0bits->zmm_hi256-state$inline

(defun !xcr0bits->zmm_hi256-state$inline (zmm_hi256-state x)
 (declare (xargs :guard (and (bitp zmm_hi256-state)
                             (xcr0bits-p x))))
 (mbe :logic
      (b* ((zmm_hi256-state (mbe :logic (bfix zmm_hi256-state)
                                 :exec zmm_hi256-state))
           (x (xcr0bits-fix x)))
        (part-install zmm_hi256-state x
                      :width 1
                      :low 6))
      :exec
      (the (unsigned-byte 64)
           (logior (the (unsigned-byte 64)
                        (logand (the (unsigned-byte 64) x)
                                (the (signed-byte 8) -65)))
                   (the (unsigned-byte 7)
                        (ash (the (unsigned-byte 1) zmm_hi256-state)
                             6))))))

Theorem: xcr0bits-p-of-!xcr0bits->zmm_hi256-state

(defthm xcr0bits-p-of-!xcr0bits->zmm_hi256-state
 (b* ((new-x (!xcr0bits->zmm_hi256-state$inline zmm_hi256-state x)))
   (xcr0bits-p new-x))
 :rule-classes :rewrite)

Theorem: !xcr0bits->zmm_hi256-state$inline-of-bfix-zmm_hi256-state

(defthm !xcr0bits->zmm_hi256-state$inline-of-bfix-zmm_hi256-state
  (equal (!xcr0bits->zmm_hi256-state$inline (bfix zmm_hi256-state)
                                            x)
         (!xcr0bits->zmm_hi256-state$inline zmm_hi256-state x)))

Theorem: !xcr0bits->zmm_hi256-state$inline-bit-equiv-congruence-on-zmm_hi256-state

(defthm
 !xcr0bits->zmm_hi256-state$inline-bit-equiv-congruence-on-zmm_hi256-state
 (implies
  (bit-equiv zmm_hi256-state zmm_hi256-state-equiv)
  (equal
       (!xcr0bits->zmm_hi256-state$inline zmm_hi256-state x)
       (!xcr0bits->zmm_hi256-state$inline zmm_hi256-state-equiv x)))
 :rule-classes :congruence)

Theorem: !xcr0bits->zmm_hi256-state$inline-of-xcr0bits-fix-x

(defthm !xcr0bits->zmm_hi256-state$inline-of-xcr0bits-fix-x
  (equal (!xcr0bits->zmm_hi256-state$inline
              zmm_hi256-state (xcr0bits-fix x))
         (!xcr0bits->zmm_hi256-state$inline zmm_hi256-state x)))

Theorem: !xcr0bits->zmm_hi256-state$inline-xcr0bits-equiv-congruence-on-x

(defthm
   !xcr0bits->zmm_hi256-state$inline-xcr0bits-equiv-congruence-on-x
 (implies
  (xcr0bits-equiv x x-equiv)
  (equal
       (!xcr0bits->zmm_hi256-state$inline zmm_hi256-state x)
       (!xcr0bits->zmm_hi256-state$inline zmm_hi256-state x-equiv)))
 :rule-classes :congruence)

Theorem: !xcr0bits->zmm_hi256-state-is-xcr0bits

(defthm !xcr0bits->zmm_hi256-state-is-xcr0bits
  (equal (!xcr0bits->zmm_hi256-state zmm_hi256-state x)
         (change-xcr0bits x
                          :zmm_hi256-state zmm_hi256-state)))

Theorem: xcr0bits->zmm_hi256-state-of-!xcr0bits->zmm_hi256-state

(defthm xcr0bits->zmm_hi256-state-of-!xcr0bits->zmm_hi256-state
  (b*
    ((?new-x (!xcr0bits->zmm_hi256-state$inline zmm_hi256-state x)))
    (equal (xcr0bits->zmm_hi256-state new-x)
           (bfix zmm_hi256-state))))

Theorem: !xcr0bits->zmm_hi256-state-equiv-under-mask

(defthm !xcr0bits->zmm_hi256-state-equiv-under-mask
  (b*
    ((?new-x (!xcr0bits->zmm_hi256-state$inline zmm_hi256-state x)))
    (xcr0bits-equiv-under-mask new-x x -65)))