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Rflagsbits

Rflagsbits->res2

Access the |X86ISA|::|RES2| field of a rflagsbits bit structure.

Signature
(rflagsbits->res2 x) → res2
Arguments: x — Guard (rflagsbits-p x).
Returns: res2 — Type (bitp res2).

Definitions and Theorems

Function: rflagsbits->res2$inline

(defun rflagsbits->res2$inline (x)
 (declare (xargs :guard (rflagsbits-p x)))
 (mbe
    :logic
    (let ((x (rflagsbits-fix x)))
      (part-select x :low 3 :width 1))
    :exec (the (unsigned-byte 1)
               (logand (the (unsigned-byte 1) 1)
                       (the (unsigned-byte 29)
                            (ash (the (unsigned-byte 32) x) -3))))))

Theorem: bitp-of-rflagsbits->res2

(defthm bitp-of-rflagsbits->res2
  (b* ((res2 (rflagsbits->res2$inline x)))
    (bitp res2))
  :rule-classes :rewrite)

Theorem: rflagsbits->res2$inline-of-rflagsbits-fix-x

(defthm rflagsbits->res2$inline-of-rflagsbits-fix-x
  (equal (rflagsbits->res2$inline (rflagsbits-fix x))
         (rflagsbits->res2$inline x)))

Theorem: rflagsbits->res2$inline-rflagsbits-equiv-congruence-on-x

(defthm rflagsbits->res2$inline-rflagsbits-equiv-congruence-on-x
  (implies (rflagsbits-equiv x x-equiv)
           (equal (rflagsbits->res2$inline x)
                  (rflagsbits->res2$inline x-equiv)))
  :rule-classes :congruence)

Theorem: rflagsbits->res2-of-rflagsbits

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

Theorem: rflagsbits->res2-of-write-with-mask

(defthm rflagsbits->res2-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) 8) 0))
           (equal (rflagsbits->res2 x)
                  (rflagsbits->res2 y))))