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Cr4bits

!cr4bits->vmxe

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

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

Definitions and Theorems

Function: !cr4bits->vmxe$inline

(defun !cr4bits->vmxe$inline (vmxe x)
 (declare (xargs :guard (and (bitp vmxe) (cr4bits-p x))))
 (mbe :logic
      (b* ((vmxe (mbe :logic (bfix vmxe) :exec vmxe))
           (x (cr4bits-fix x)))
        (part-install vmxe x :width 1 :low 13))
      :exec (the (unsigned-byte 26)
                 (logior (the (unsigned-byte 26)
                              (logand (the (unsigned-byte 26) x)
                                      (the (signed-byte 15) -8193)))
                         (the (unsigned-byte 14)
                              (ash (the (unsigned-byte 1) vmxe)
                                   13))))))

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

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

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

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

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

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

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

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

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

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

Theorem: !cr4bits->vmxe-is-cr4bits

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

Theorem: cr4bits->vmxe-of-!cr4bits->vmxe

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

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

(defthm !cr4bits->vmxe-equiv-under-mask
  (b* ((?new-x (!cr4bits->vmxe$inline vmxe x)))
    (cr4bits-equiv-under-mask new-x x -8193)))