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Rflagsbits

Rflagsbits->pf

Access the |ACL2|::|PF| field of a rflagsbits bit structure.

Signature
(rflagsbits->pf x) → pf
Arguments: x — Guard (rflagsbits-p x).
Returns: pf — Type (bitp pf).

Definitions and Theorems

Function: rflagsbits->pf$inline

(defun rflagsbits->pf$inline (x)
 (declare (xargs :guard (rflagsbits-p x)))
 (mbe
    :logic
    (let ((x (rflagsbits-fix x)))
      (part-select x :low 2 :width 1))
    :exec (the (unsigned-byte 1)
               (logand (the (unsigned-byte 1) 1)
                       (the (unsigned-byte 30)
                            (ash (the (unsigned-byte 32) x) -2))))))

Theorem: bitp-of-rflagsbits->pf

(defthm bitp-of-rflagsbits->pf
  (b* ((pf (rflagsbits->pf$inline x)))
    (bitp pf))
  :rule-classes :rewrite)

Theorem: rflagsbits->pf$inline-of-rflagsbits-fix-x

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

Theorem: rflagsbits->pf$inline-rflagsbits-equiv-congruence-on-x

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

Theorem: rflagsbits->pf-of-rflagsbits

(defthm rflagsbits->pf-of-rflagsbits
  (equal (rflagsbits->pf
              (rflagsbits cf
                          res1 pf res2 af res3 zf sf tf intf df of
                          iopl nt res4 rf vm ac vif vip id res5))
         (bfix pf)))

Theorem: rflagsbits->pf-of-write-with-mask

(defthm rflagsbits->pf-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x rflagsbits-equiv-under-mask)
                (rflagsbits-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 4) 0))
           (equal (rflagsbits->pf x)
                  (rflagsbits->pf y))))