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Ia32e-pml4ebits

Ia32e-pml4ebits->u/s

Access the |X86ISA|::|U/S| field of a ia32e-pml4ebits bit structure.

Signature
(ia32e-pml4ebits->u/s x) → u/s
Arguments: x — Guard (ia32e-pml4ebits-p x).
Returns: u/s — Type (bitp u/s).

Definitions and Theorems

Function: ia32e-pml4ebits->u/s$inline

(defun ia32e-pml4ebits->u/s$inline (x)
 (declare (xargs :guard (ia32e-pml4ebits-p x)))
 (mbe
    :logic
    (let ((x (ia32e-pml4ebits-fix x)))
      (part-select x :low 2 :width 1))
    :exec (the (unsigned-byte 1)
               (logand (the (unsigned-byte 1) 1)
                       (the (unsigned-byte 62)
                            (ash (the (unsigned-byte 64) x) -2))))))

Theorem: bitp-of-ia32e-pml4ebits->u/s

(defthm bitp-of-ia32e-pml4ebits->u/s
  (b* ((u/s (ia32e-pml4ebits->u/s$inline x)))
    (bitp u/s))
  :rule-classes :rewrite)

Theorem: ia32e-pml4ebits->u/s$inline-of-ia32e-pml4ebits-fix-x

(defthm ia32e-pml4ebits->u/s$inline-of-ia32e-pml4ebits-fix-x
  (equal (ia32e-pml4ebits->u/s$inline (ia32e-pml4ebits-fix x))
         (ia32e-pml4ebits->u/s$inline x)))

Theorem: ia32e-pml4ebits->u/s$inline-ia32e-pml4ebits-equiv-congruence-on-x

(defthm
  ia32e-pml4ebits->u/s$inline-ia32e-pml4ebits-equiv-congruence-on-x
  (implies (ia32e-pml4ebits-equiv x x-equiv)
           (equal (ia32e-pml4ebits->u/s$inline x)
                  (ia32e-pml4ebits->u/s$inline x-equiv)))
  :rule-classes :congruence)

Theorem: ia32e-pml4ebits->u/s-of-ia32e-pml4ebits

(defthm ia32e-pml4ebits->u/s-of-ia32e-pml4ebits
  (equal (ia32e-pml4ebits->u/s
              (ia32e-pml4ebits p r/w u/s
                               pwt pcd a res1 ps res2 pdpt res3 xd))
         (bfix u/s)))

Theorem: ia32e-pml4ebits->u/s-of-write-with-mask

(defthm ia32e-pml4ebits->u/s-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x ia32e-pml4ebits-equiv-under-mask)
                (ia32e-pml4ebits-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 4) 0))
           (equal (ia32e-pml4ebits->u/s x)
                  (ia32e-pml4ebits->u/s y))))