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Cr0bits

!cr0bits->wp

Update the |X86ISA|::|WP| field of a cr0bits bit structure.

Signature
(!cr0bits->wp wp x) → new-x
Arguments: wp — Guard (bitp wp).; x — Guard (cr0bits-p x).
Returns: new-x — Type (cr0bits-p new-x).

Definitions and Theorems

Function: !cr0bits->wp$inline

(defun !cr0bits->wp$inline (wp x)
 (declare (xargs :guard (and (bitp wp) (cr0bits-p x))))
 (mbe
    :logic
    (b* ((wp (mbe :logic (bfix wp) :exec wp))
         (x (cr0bits-fix x)))
      (part-install wp x :width 1 :low 16))
    :exec (the (unsigned-byte 32)
               (logior (the (unsigned-byte 32)
                            (logand (the (unsigned-byte 32) x)
                                    (the (signed-byte 18) -65537)))
                       (the (unsigned-byte 17)
                            (ash (the (unsigned-byte 1) wp) 16))))))

Theorem: cr0bits-p-of-!cr0bits->wp

(defthm cr0bits-p-of-!cr0bits->wp
  (b* ((new-x (!cr0bits->wp$inline wp x)))
    (cr0bits-p new-x))
  :rule-classes :rewrite)

Theorem: !cr0bits->wp$inline-of-bfix-wp

(defthm !cr0bits->wp$inline-of-bfix-wp
  (equal (!cr0bits->wp$inline (bfix wp) x)
         (!cr0bits->wp$inline wp x)))

Theorem: !cr0bits->wp$inline-bit-equiv-congruence-on-wp

(defthm !cr0bits->wp$inline-bit-equiv-congruence-on-wp
  (implies (bit-equiv wp wp-equiv)
           (equal (!cr0bits->wp$inline wp x)
                  (!cr0bits->wp$inline wp-equiv x)))
  :rule-classes :congruence)

Theorem: !cr0bits->wp$inline-of-cr0bits-fix-x

(defthm !cr0bits->wp$inline-of-cr0bits-fix-x
  (equal (!cr0bits->wp$inline wp (cr0bits-fix x))
         (!cr0bits->wp$inline wp x)))

Theorem: !cr0bits->wp$inline-cr0bits-equiv-congruence-on-x

(defthm !cr0bits->wp$inline-cr0bits-equiv-congruence-on-x
  (implies (cr0bits-equiv x x-equiv)
           (equal (!cr0bits->wp$inline wp x)
                  (!cr0bits->wp$inline wp x-equiv)))
  :rule-classes :congruence)

Theorem: !cr0bits->wp-is-cr0bits

(defthm !cr0bits->wp-is-cr0bits
  (equal (!cr0bits->wp wp x)
         (change-cr0bits x :wp wp)))

Theorem: cr0bits->wp-of-!cr0bits->wp

(defthm cr0bits->wp-of-!cr0bits->wp
  (b* ((?new-x (!cr0bits->wp$inline wp x)))
    (equal (cr0bits->wp new-x) (bfix wp))))

Theorem: !cr0bits->wp-equiv-under-mask

(defthm !cr0bits->wp-equiv-under-mask
  (b* ((?new-x (!cr0bits->wp$inline wp x)))
    (cr0bits-equiv-under-mask new-x x -65537)))