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• Tlb-key

!tlb-key->implicit-supervisor-access

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

Signature

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

Arguments

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

x — Guard (tlb-key-p x).

Returns

new-x — Type (tlb-key-p new-x).

Definitions and Theorems

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

(defun !tlb-key->implicit-supervisor-access$inline
       (implicit-supervisor-access x)
  (declare (xargs :guard (and (bitp implicit-supervisor-access)
                              (tlb-key-p x))))
  (mbe :logic
       (b* ((implicit-supervisor-access
                 (mbe :logic (bfix implicit-supervisor-access)
                      :exec implicit-supervisor-access))
            (x (tlb-key-fix x)))
         (part-install implicit-supervisor-access x
                       :width 1
                       :low 5))
       :exec (the (unsigned-byte 46)
                  (logior (the (unsigned-byte 46)
                               (logand (the (unsigned-byte 46) x)
                                       (the (signed-byte 7) -33)))
                          (the (unsigned-byte 6)
                               (ash (the (unsigned-byte 1)
                                         implicit-supervisor-access)
                                    5))))))

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

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

Theorem: !tlb-key->implicit-supervisor-access$inline-of-bfix-implicit-supervisor-access

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

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

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

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
              implicit-supervisor-access
              (tlb-key-fix x))
         (!tlb-key->implicit-supervisor-access$inline
              implicit-supervisor-access 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
                      implicit-supervisor-access x)
                 (!tlb-key->implicit-supervisor-access$inline
                      implicit-supervisor-access x-equiv)))
 :rule-classes :congruence)

Theorem: !tlb-key->implicit-supervisor-access-is-tlb-key

(defthm !tlb-key->implicit-supervisor-access-is-tlb-key
 (equal
      (!tlb-key->implicit-supervisor-access
           implicit-supervisor-access x)
      (change-tlb-key
           x
           :implicit-supervisor-access implicit-supervisor-access)))

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

(defthm
 tlb-key->implicit-supervisor-access-of-!tlb-key->implicit-supervisor-access
 (b* ((?new-x (!tlb-key->implicit-supervisor-access$inline
                   implicit-supervisor-access x)))
   (equal (tlb-key->implicit-supervisor-access new-x)
          (bfix implicit-supervisor-access))))

Theorem: !tlb-key->implicit-supervisor-access-equiv-under-mask

(defthm !tlb-key->implicit-supervisor-access-equiv-under-mask
  (b* ((?new-x (!tlb-key->implicit-supervisor-access$inline
                    implicit-supervisor-access x)))
    (tlb-key-equiv-under-mask new-x x -33)))