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Rflagsbits

!rflagsbits->vif

Update the |X86ISA|::|VIF| field of a rflagsbits bit structure.

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

Definitions and Theorems

Function: !rflagsbits->vif$inline

(defun !rflagsbits->vif$inline (vif x)
 (declare (xargs :guard (and (bitp vif) (rflagsbits-p x))))
 (mbe
    :logic
    (b* ((vif (mbe :logic (bfix vif) :exec vif))
         (x (rflagsbits-fix x)))
      (part-install vif x :width 1 :low 19))
    :exec (the (unsigned-byte 32)
               (logior (the (unsigned-byte 32)
                            (logand (the (unsigned-byte 32) x)
                                    (the (signed-byte 21) -524289)))
                       (the (unsigned-byte 20)
                            (ash (the (unsigned-byte 1) vif)
                                 19))))))

Theorem: rflagsbits-p-of-!rflagsbits->vif

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

Theorem: !rflagsbits->vif$inline-of-bfix-vif

(defthm !rflagsbits->vif$inline-of-bfix-vif
  (equal (!rflagsbits->vif$inline (bfix vif) x)
         (!rflagsbits->vif$inline vif x)))

Theorem: !rflagsbits->vif$inline-bit-equiv-congruence-on-vif

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

Theorem: !rflagsbits->vif$inline-of-rflagsbits-fix-x

(defthm !rflagsbits->vif$inline-of-rflagsbits-fix-x
  (equal (!rflagsbits->vif$inline vif (rflagsbits-fix x))
         (!rflagsbits->vif$inline vif x)))

Theorem: !rflagsbits->vif$inline-rflagsbits-equiv-congruence-on-x

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

Theorem: !rflagsbits->vif-is-rflagsbits

(defthm !rflagsbits->vif-is-rflagsbits
  (equal (!rflagsbits->vif vif x)
         (change-rflagsbits x :vif vif)))

Theorem: rflagsbits->vif-of-!rflagsbits->vif

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

Theorem: !rflagsbits->vif-equiv-under-mask

(defthm !rflagsbits->vif-equiv-under-mask
  (b* ((?new-x (!rflagsbits->vif$inline vif x)))
    (rflagsbits-equiv-under-mask new-x x -524289)))