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          • Tlb-key->implicit-supervisor-access
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• Tlb-key

Tlb-key->implicit-supervisor-access

Access the |X86ISA|::|IMPLICIT-SUPERVISOR-ACCESS| field of a tlb-key bit structure.

Signature

(tlb-key->implicit-supervisor-access x) 
  → 
implicit-supervisor-access

Arguments

x — Guard (tlb-key-p x).

Returns

implicit-supervisor-access — Type (bitp implicit-supervisor-access).

Definitions and Theorems

Function: tlb-key->implicit-supervisor-access$inline

(defun tlb-key->implicit-supervisor-access$inline (x)
 (declare (xargs :guard (tlb-key-p x)))
 (mbe
    :logic
    (let ((x (tlb-key-fix x)))
      (part-select x :low 5 :width 1))
    :exec (the (unsigned-byte 1)
               (logand (the (unsigned-byte 1) 1)
                       (the (unsigned-byte 41)
                            (ash (the (unsigned-byte 46) x) -5))))))

Theorem: bitp-of-tlb-key->implicit-supervisor-access

(defthm bitp-of-tlb-key->implicit-supervisor-access
  (b* ((implicit-supervisor-access
            (tlb-key->implicit-supervisor-access$inline x)))
    (bitp implicit-supervisor-access))
  :rule-classes :rewrite)

Theorem: tlb-key->implicit-supervisor-access$inline-of-tlb-key-fix-x

(defthm tlb-key->implicit-supervisor-access$inline-of-tlb-key-fix-x
 (equal (tlb-key->implicit-supervisor-access$inline (tlb-key-fix x))
        (tlb-key->implicit-supervisor-access$inline x)))

Theorem: tlb-key->implicit-supervisor-access$inline-tlb-key-equiv-congruence-on-x

(defthm
 tlb-key->implicit-supervisor-access$inline-tlb-key-equiv-congruence-on-x
 (implies
      (tlb-key-equiv x x-equiv)
      (equal (tlb-key->implicit-supervisor-access$inline x)
             (tlb-key->implicit-supervisor-access$inline x-equiv)))
 :rule-classes :congruence)

Theorem: tlb-key->implicit-supervisor-access-of-tlb-key

(defthm tlb-key->implicit-supervisor-access-of-tlb-key
  (equal (tlb-key->implicit-supervisor-access
              (tlb-key wp smep
                       smap ac nxe implicit-supervisor-access
                       r-w-x cpl vpn))
         (bfix implicit-supervisor-access)))

Theorem: tlb-key->implicit-supervisor-access-of-write-with-mask

(defthm tlb-key->implicit-supervisor-access-of-write-with-mask
 (implies
  (and
    (fty::bitstruct-read-over-write-hyps x tlb-key-equiv-under-mask)
    (tlb-key-equiv-under-mask x y fty::mask)
    (equal (logand (lognot fty::mask) 32)
           0))
  (equal (tlb-key->implicit-supervisor-access x)
         (tlb-key->implicit-supervisor-access y))))