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Cr0bits

Cr0bits->res3

Access the |X86ISA|::|RES3| field of a cr0bits bit structure.

Signature
(cr0bits->res3 x) → res3
Arguments: x — Guard (cr0bits-p x).
Returns: res3 — Type (10bits-p res3).

Definitions and Theorems

Function: cr0bits->res3$inline

(defun cr0bits->res3$inline (x)
  (declare (xargs :guard (cr0bits-p x)))
  (mbe :logic
       (let ((x (cr0bits-fix x)))
         (part-select x :low 19 :width 10))
       :exec (the (unsigned-byte 10)
                  (logand (the (unsigned-byte 10) 1023)
                          (the (unsigned-byte 13)
                               (ash (the (unsigned-byte 32) x)
                                    -19))))))

Theorem: 10bits-p-of-cr0bits->res3

(defthm 10bits-p-of-cr0bits->res3
  (b* ((res3 (cr0bits->res3$inline x)))
    (10bits-p res3))
  :rule-classes :rewrite)

Theorem: cr0bits->res3$inline-of-cr0bits-fix-x

(defthm cr0bits->res3$inline-of-cr0bits-fix-x
  (equal (cr0bits->res3$inline (cr0bits-fix x))
         (cr0bits->res3$inline x)))

Theorem: cr0bits->res3$inline-cr0bits-equiv-congruence-on-x

(defthm cr0bits->res3$inline-cr0bits-equiv-congruence-on-x
  (implies (cr0bits-equiv x x-equiv)
           (equal (cr0bits->res3$inline x)
                  (cr0bits->res3$inline x-equiv)))
  :rule-classes :congruence)

Theorem: cr0bits->res3-of-cr0bits

(defthm cr0bits->res3-of-cr0bits
 (equal
    (cr0bits->res3 (cr0bits pe mp em
                            ts et ne res1 wp res2 am res3 nw cd pg))
    (10bits-fix res3)))

Theorem: cr0bits->res3-of-write-with-mask

(defthm cr0bits->res3-of-write-with-mask
 (implies
  (and
    (fty::bitstruct-read-over-write-hyps x cr0bits-equiv-under-mask)
    (cr0bits-equiv-under-mask x y fty::mask)
    (equal (logand (lognot fty::mask) 536346624)
           0))
  (equal (cr0bits->res3 x)
         (cr0bits->res3 y))))