• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
    • X86isa
      • Program-execution
      • Sdm-instruction-set-summary
      • Tlb
      • Booting-linux
      • Introduction
      • Asmtest
      • X86isa-build-instructions
      • Publications
      • Contributors
      • Machine
      • Implemented-opcodes
      • To-do
      • Proof-utilities
      • Peripherals
      • Model-validation
      • Modelcalls
      • Concrete-simulation-examples
      • Utils
        • Structures
          • Rflagsbits
          • Cr4bits
          • Xcr0bits
          • Cr0bits
          • Prefixes
          • Ia32_eferbits
          • Evex-byte1
          • Cr3bits
          • Evex-byte3
          • Vex3-byte2
          • Vex3-byte1
          • Vex2-byte1
          • Evex-prefixes
            • !evex-prefixes->byte3
            • !evex-prefixes->byte2
            • !evex-prefixes->byte1
            • !evex-prefixes->byte0
            • Evex-prefixes-p
            • Evex-prefixes->byte3
            • Evex-prefixes->byte2
            • Evex-prefixes->byte1
            • Evex-prefixes-fix
            • Evex-prefixes->byte0
          • Evex-byte2
          • Vex-prefixes
          • Sib
          • Modr/m-structures
          • Vex-prefixes-layout-structures
          • Sib-structures
          • Legacy-prefixes-layout-structure
          • Evex-prefixes-layout-structures
          • Cr8bits
          • Opcode-maps-structures
          • Segmentation-bitstructs
          • 8bits
          • 2bits
          • 4bits
          • 16bits
          • Paging-bitstructs
          • 3bits
          • 11bits
          • 40bits
          • 5bits
          • 32bits
          • 19bits
          • 10bits
          • 7bits
          • 64bits
          • 54bits
          • 45bits
          • 36bits
          • 31bits
          • 24bits
          • 22bits
          • 17bits
          • 13bits
          • 12bits
          • 6bits
          • Vex->x
          • Vex->b
          • Vex-prefixes-map-p
          • Vex-prefixes-byte0-p
          • Vex->w
          • Vex->vvvv
          • Vex->r
          • Fp-bitstructs
          • Cr4bits-debug
          • Vex->pp
          • Vex->l
          • Rflagsbits-debug
          • Evex->v-prime
          • Evex->z
          • Evex->w
          • Evex->vvvv
          • Evex->vl/rc
          • Evex->pp
          • Evex->aaa
          • Xcr0bits-debug
          • Vex3-byte1-equiv-under-mask
          • Vex3-byte2-equiv-under-mask
          • Vex2-byte1-equiv-under-mask
          • Vex-prefixes-equiv-under-mask
          • Rflagsbits-equiv-under-mask
          • Ia32_eferbits-equiv-under-mask
          • Evex-prefixes-equiv-under-mask
          • Evex-byte3-equiv-under-mask
          • Evex-byte2-equiv-under-mask
          • Evex-byte1-equiv-under-mask
          • Cr0bits-debug
          • Xcr0bits-equiv-under-mask
          • Sib-equiv-under-mask
          • Prefixes-equiv-under-mask
          • Cr8bits-equiv-under-mask
          • Cr4bits-equiv-under-mask
          • Cr3bits-equiv-under-mask
          • Cr0bits-equiv-under-mask
          • Vex3-byte1-debug
          • Prefixes-debug
          • Ia32_eferbits-debug
          • Evex-byte1-debug
          • Vex3-byte2-debug
          • Vex2-byte1-debug
          • Vex-prefixes-debug
          • Evex-prefixes-debug
          • Evex-byte3-debug
          • Evex-byte2-debug
          • Cr3bits-debug
          • Sib-debug
          • Cr8bits-debug
        • Utilities
      • Debugging-code-proofs
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Structures

Evex-prefixes

An 32-bit unsigned bitstruct type.

This is a bitstruct type introduced by defbitstruct, represented as a unsigned 32-bit integer.

Fields

byte0 — 8bits

byte1 — 8bits

byte2 — 8bits

byte3 — 8bits

Definitions and Theorems

Function: evex-prefixes-p$inline

(defun evex-prefixes-p$inline (x)
  (declare (xargs :guard t))
  (mbe :logic (unsigned-byte-p 32 x)
       :exec (and (natp x) (< x 4294967296))))

Theorem: evex-prefixes-p-when-unsigned-byte-p

(defthm evex-prefixes-p-when-unsigned-byte-p
  (implies (unsigned-byte-p 32 x)
           (evex-prefixes-p x)))

Theorem: unsigned-byte-p-when-evex-prefixes-p

(defthm unsigned-byte-p-when-evex-prefixes-p
  (implies (evex-prefixes-p x)
           (unsigned-byte-p 32 x)))

Theorem: evex-prefixes-p-compound-recognizer

(defthm evex-prefixes-p-compound-recognizer
  (implies (evex-prefixes-p x) (natp x))
  :rule-classes :compound-recognizer)

Function: evex-prefixes-fix$inline

(defun evex-prefixes-fix$inline (x)
  (declare (xargs :guard (evex-prefixes-p x)))
  (mbe :logic (loghead 32 x) :exec x))

Theorem: evex-prefixes-p-of-evex-prefixes-fix

(defthm evex-prefixes-p-of-evex-prefixes-fix
  (b* ((fty::fixed (evex-prefixes-fix$inline x)))
    (evex-prefixes-p fty::fixed))
  :rule-classes :rewrite)

Theorem: evex-prefixes-fix-when-evex-prefixes-p

(defthm evex-prefixes-fix-when-evex-prefixes-p
  (implies (evex-prefixes-p x)
           (equal (evex-prefixes-fix x) x)))

Function: evex-prefixes-equiv$inline

(defun evex-prefixes-equiv$inline (x y)
  (declare (xargs :guard (and (evex-prefixes-p x)
                              (evex-prefixes-p y))))
  (equal (evex-prefixes-fix x)
         (evex-prefixes-fix y)))

Theorem: evex-prefixes-equiv-is-an-equivalence

(defthm evex-prefixes-equiv-is-an-equivalence
  (and (booleanp (evex-prefixes-equiv x y))
       (evex-prefixes-equiv x x)
       (implies (evex-prefixes-equiv x y)
                (evex-prefixes-equiv y x))
       (implies (and (evex-prefixes-equiv x y)
                     (evex-prefixes-equiv y z))
                (evex-prefixes-equiv x z)))
  :rule-classes (:equivalence))

Theorem: evex-prefixes-equiv-implies-equal-evex-prefixes-fix-1

(defthm evex-prefixes-equiv-implies-equal-evex-prefixes-fix-1
  (implies (evex-prefixes-equiv x x-equiv)
           (equal (evex-prefixes-fix x)
                  (evex-prefixes-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: evex-prefixes-fix-under-evex-prefixes-equiv

(defthm evex-prefixes-fix-under-evex-prefixes-equiv
  (evex-prefixes-equiv (evex-prefixes-fix x)
                       x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Function: evex-prefixes$inline

(defun evex-prefixes$inline (byte0 byte1 byte2 byte3)
  (declare (xargs :guard (and (8bits-p byte0)
                              (8bits-p byte1)
                              (8bits-p byte2)
                              (8bits-p byte3))))
  (b* ((byte0 (mbe :logic (8bits-fix byte0)
                   :exec byte0))
       (byte1 (mbe :logic (8bits-fix byte1)
                   :exec byte1))
       (byte2 (mbe :logic (8bits-fix byte2)
                   :exec byte2))
       (byte3 (mbe :logic (8bits-fix byte3)
                   :exec byte3)))
    (logapp 8 byte0
            (logapp 8 byte1 (logapp 8 byte2 byte3)))))

Theorem: evex-prefixes-p-of-evex-prefixes

(defthm evex-prefixes-p-of-evex-prefixes
  (b*
    ((evex-prefixes (evex-prefixes$inline byte0 byte1 byte2 byte3)))
    (evex-prefixes-p evex-prefixes))
  :rule-classes :rewrite)

Theorem: evex-prefixes$inline-of-8bits-fix-byte0

(defthm evex-prefixes$inline-of-8bits-fix-byte0
  (equal (evex-prefixes$inline (8bits-fix byte0)
                               byte1 byte2 byte3)
         (evex-prefixes$inline byte0 byte1 byte2 byte3)))

Theorem: evex-prefixes$inline-8bits-equiv-congruence-on-byte0

(defthm evex-prefixes$inline-8bits-equiv-congruence-on-byte0
  (implies
       (8bits-equiv byte0 byte0-equiv)
       (equal (evex-prefixes$inline byte0 byte1 byte2 byte3)
              (evex-prefixes$inline byte0-equiv byte1 byte2 byte3)))
  :rule-classes :congruence)

Theorem: evex-prefixes$inline-of-8bits-fix-byte1

(defthm evex-prefixes$inline-of-8bits-fix-byte1
  (equal (evex-prefixes$inline byte0 (8bits-fix byte1)
                               byte2 byte3)
         (evex-prefixes$inline byte0 byte1 byte2 byte3)))

Theorem: evex-prefixes$inline-8bits-equiv-congruence-on-byte1

(defthm evex-prefixes$inline-8bits-equiv-congruence-on-byte1
  (implies
       (8bits-equiv byte1 byte1-equiv)
       (equal (evex-prefixes$inline byte0 byte1 byte2 byte3)
              (evex-prefixes$inline byte0 byte1-equiv byte2 byte3)))
  :rule-classes :congruence)

Theorem: evex-prefixes$inline-of-8bits-fix-byte2

(defthm evex-prefixes$inline-of-8bits-fix-byte2
  (equal (evex-prefixes$inline byte0 byte1 (8bits-fix byte2)
                               byte3)
         (evex-prefixes$inline byte0 byte1 byte2 byte3)))

Theorem: evex-prefixes$inline-8bits-equiv-congruence-on-byte2

(defthm evex-prefixes$inline-8bits-equiv-congruence-on-byte2
  (implies
       (8bits-equiv byte2 byte2-equiv)
       (equal (evex-prefixes$inline byte0 byte1 byte2 byte3)
              (evex-prefixes$inline byte0 byte1 byte2-equiv byte3)))
  :rule-classes :congruence)

Theorem: evex-prefixes$inline-of-8bits-fix-byte3

(defthm evex-prefixes$inline-of-8bits-fix-byte3
  (equal (evex-prefixes$inline byte0 byte1 byte2 (8bits-fix byte3))
         (evex-prefixes$inline byte0 byte1 byte2 byte3)))

Theorem: evex-prefixes$inline-8bits-equiv-congruence-on-byte3

(defthm evex-prefixes$inline-8bits-equiv-congruence-on-byte3
  (implies
       (8bits-equiv byte3 byte3-equiv)
       (equal (evex-prefixes$inline byte0 byte1 byte2 byte3)
              (evex-prefixes$inline byte0 byte1 byte2 byte3-equiv)))
  :rule-classes :congruence)

Function: evex-prefixes-equiv-under-mask$inline

(defun evex-prefixes-equiv-under-mask$inline (x x1 mask)
  (declare (xargs :guard (and (evex-prefixes-p x)
                              (evex-prefixes-p x1)
                              (integerp mask))))
  (fty::int-equiv-under-mask (evex-prefixes-fix x)
                             (evex-prefixes-fix x1)
                             mask))

Function: evex-prefixes->byte0$inline

(defun evex-prefixes->byte0$inline (x)
  (declare (xargs :guard (evex-prefixes-p x)))
  (mbe :logic
       (let ((x (evex-prefixes-fix x)))
         (part-select x :low 0 :width 8))
       :exec (the (unsigned-byte 8)
                  (logand (the (unsigned-byte 8) 255)
                          (the (unsigned-byte 32) x)))))

Theorem: 8bits-p-of-evex-prefixes->byte0

(defthm 8bits-p-of-evex-prefixes->byte0
  (b* ((byte0 (evex-prefixes->byte0$inline x)))
    (8bits-p byte0))
  :rule-classes :rewrite)

Theorem: evex-prefixes->byte0$inline-of-evex-prefixes-fix-x

(defthm evex-prefixes->byte0$inline-of-evex-prefixes-fix-x
  (equal (evex-prefixes->byte0$inline (evex-prefixes-fix x))
         (evex-prefixes->byte0$inline x)))

Theorem: evex-prefixes->byte0$inline-evex-prefixes-equiv-congruence-on-x

(defthm
    evex-prefixes->byte0$inline-evex-prefixes-equiv-congruence-on-x
  (implies (evex-prefixes-equiv x x-equiv)
           (equal (evex-prefixes->byte0$inline x)
                  (evex-prefixes->byte0$inline x-equiv)))
  :rule-classes :congruence)

Theorem: evex-prefixes->byte0-of-evex-prefixes

(defthm evex-prefixes->byte0-of-evex-prefixes
 (equal
      (evex-prefixes->byte0 (evex-prefixes byte0 byte1 byte2 byte3))
      (8bits-fix byte0)))

Theorem: evex-prefixes->byte0-of-write-with-mask

(defthm evex-prefixes->byte0-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x evex-prefixes-equiv-under-mask)
                (evex-prefixes-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 255)
                       0))
           (equal (evex-prefixes->byte0 x)
                  (evex-prefixes->byte0 y))))

Function: evex-prefixes->byte1$inline

(defun evex-prefixes->byte1$inline (x)
 (declare (xargs :guard (evex-prefixes-p x)))
 (mbe
    :logic
    (let ((x (evex-prefixes-fix x)))
      (part-select x :low 8 :width 8))
    :exec (the (unsigned-byte 8)
               (logand (the (unsigned-byte 8) 255)
                       (the (unsigned-byte 24)
                            (ash (the (unsigned-byte 32) x) -8))))))

Theorem: 8bits-p-of-evex-prefixes->byte1

(defthm 8bits-p-of-evex-prefixes->byte1
  (b* ((byte1 (evex-prefixes->byte1$inline x)))
    (8bits-p byte1))
  :rule-classes :rewrite)

Theorem: evex-prefixes->byte1$inline-of-evex-prefixes-fix-x

(defthm evex-prefixes->byte1$inline-of-evex-prefixes-fix-x
  (equal (evex-prefixes->byte1$inline (evex-prefixes-fix x))
         (evex-prefixes->byte1$inline x)))

Theorem: evex-prefixes->byte1$inline-evex-prefixes-equiv-congruence-on-x

(defthm
    evex-prefixes->byte1$inline-evex-prefixes-equiv-congruence-on-x
  (implies (evex-prefixes-equiv x x-equiv)
           (equal (evex-prefixes->byte1$inline x)
                  (evex-prefixes->byte1$inline x-equiv)))
  :rule-classes :congruence)

Theorem: evex-prefixes->byte1-of-evex-prefixes

(defthm evex-prefixes->byte1-of-evex-prefixes
 (equal
      (evex-prefixes->byte1 (evex-prefixes byte0 byte1 byte2 byte3))
      (8bits-fix byte1)))

Theorem: evex-prefixes->byte1-of-write-with-mask

(defthm evex-prefixes->byte1-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x evex-prefixes-equiv-under-mask)
                (evex-prefixes-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 65280)
                       0))
           (equal (evex-prefixes->byte1 x)
                  (evex-prefixes->byte1 y))))

Function: evex-prefixes->byte2$inline

(defun evex-prefixes->byte2$inline (x)
  (declare (xargs :guard (evex-prefixes-p x)))
  (mbe :logic
       (let ((x (evex-prefixes-fix x)))
         (part-select x :low 16 :width 8))
       :exec (the (unsigned-byte 8)
                  (logand (the (unsigned-byte 8) 255)
                          (the (unsigned-byte 16)
                               (ash (the (unsigned-byte 32) x)
                                    -16))))))

Theorem: 8bits-p-of-evex-prefixes->byte2

(defthm 8bits-p-of-evex-prefixes->byte2
  (b* ((byte2 (evex-prefixes->byte2$inline x)))
    (8bits-p byte2))
  :rule-classes :rewrite)

Theorem: evex-prefixes->byte2$inline-of-evex-prefixes-fix-x

(defthm evex-prefixes->byte2$inline-of-evex-prefixes-fix-x
  (equal (evex-prefixes->byte2$inline (evex-prefixes-fix x))
         (evex-prefixes->byte2$inline x)))

Theorem: evex-prefixes->byte2$inline-evex-prefixes-equiv-congruence-on-x

(defthm
    evex-prefixes->byte2$inline-evex-prefixes-equiv-congruence-on-x
  (implies (evex-prefixes-equiv x x-equiv)
           (equal (evex-prefixes->byte2$inline x)
                  (evex-prefixes->byte2$inline x-equiv)))
  :rule-classes :congruence)

Theorem: evex-prefixes->byte2-of-evex-prefixes

(defthm evex-prefixes->byte2-of-evex-prefixes
 (equal
      (evex-prefixes->byte2 (evex-prefixes byte0 byte1 byte2 byte3))
      (8bits-fix byte2)))

Theorem: evex-prefixes->byte2-of-write-with-mask

(defthm evex-prefixes->byte2-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x evex-prefixes-equiv-under-mask)
                (evex-prefixes-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 16711680)
                       0))
           (equal (evex-prefixes->byte2 x)
                  (evex-prefixes->byte2 y))))

Function: evex-prefixes->byte3$inline

(defun evex-prefixes->byte3$inline (x)
  (declare (xargs :guard (evex-prefixes-p x)))
  (mbe :logic
       (let ((x (evex-prefixes-fix x)))
         (part-select x :low 24 :width 8))
       :exec (the (unsigned-byte 8)
                  (logand (the (unsigned-byte 8) 255)
                          (the (unsigned-byte 8)
                               (ash (the (unsigned-byte 32) x)
                                    -24))))))

Theorem: 8bits-p-of-evex-prefixes->byte3

(defthm 8bits-p-of-evex-prefixes->byte3
  (b* ((byte3 (evex-prefixes->byte3$inline x)))
    (8bits-p byte3))
  :rule-classes :rewrite)

Theorem: evex-prefixes->byte3$inline-of-evex-prefixes-fix-x

(defthm evex-prefixes->byte3$inline-of-evex-prefixes-fix-x
  (equal (evex-prefixes->byte3$inline (evex-prefixes-fix x))
         (evex-prefixes->byte3$inline x)))

Theorem: evex-prefixes->byte3$inline-evex-prefixes-equiv-congruence-on-x

(defthm
    evex-prefixes->byte3$inline-evex-prefixes-equiv-congruence-on-x
  (implies (evex-prefixes-equiv x x-equiv)
           (equal (evex-prefixes->byte3$inline x)
                  (evex-prefixes->byte3$inline x-equiv)))
  :rule-classes :congruence)

Theorem: evex-prefixes->byte3-of-evex-prefixes

(defthm evex-prefixes->byte3-of-evex-prefixes
 (equal
      (evex-prefixes->byte3 (evex-prefixes byte0 byte1 byte2 byte3))
      (8bits-fix byte3)))

Theorem: evex-prefixes->byte3-of-write-with-mask

(defthm evex-prefixes->byte3-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x evex-prefixes-equiv-under-mask)
                (evex-prefixes-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 4278190080)
                       0))
           (equal (evex-prefixes->byte3 x)
                  (evex-prefixes->byte3 y))))

Theorem: evex-prefixes-fix-in-terms-of-evex-prefixes

(defthm evex-prefixes-fix-in-terms-of-evex-prefixes
  (equal (evex-prefixes-fix x)
         (change-evex-prefixes x)))

Function: !evex-prefixes->byte0$inline

(defun !evex-prefixes->byte0$inline (byte0 x)
  (declare (xargs :guard (and (8bits-p byte0)
                              (evex-prefixes-p x))))
  (mbe :logic
       (b* ((byte0 (mbe :logic (8bits-fix byte0)
                        :exec byte0))
            (x (evex-prefixes-fix x)))
         (part-install byte0 x :width 8 :low 0))
       :exec (the (unsigned-byte 32)
                  (logior (the (unsigned-byte 32)
                               (logand (the (unsigned-byte 32) x)
                                       (the (signed-byte 9) -256)))
                          (the (unsigned-byte 8) byte0)))))

Theorem: evex-prefixes-p-of-!evex-prefixes->byte0

(defthm evex-prefixes-p-of-!evex-prefixes->byte0
  (b* ((new-x (!evex-prefixes->byte0$inline byte0 x)))
    (evex-prefixes-p new-x))
  :rule-classes :rewrite)

Theorem: !evex-prefixes->byte0$inline-of-8bits-fix-byte0

(defthm !evex-prefixes->byte0$inline-of-8bits-fix-byte0
  (equal (!evex-prefixes->byte0$inline (8bits-fix byte0)
                                       x)
         (!evex-prefixes->byte0$inline byte0 x)))

Theorem: !evex-prefixes->byte0$inline-8bits-equiv-congruence-on-byte0

(defthm !evex-prefixes->byte0$inline-8bits-equiv-congruence-on-byte0
  (implies (8bits-equiv byte0 byte0-equiv)
           (equal (!evex-prefixes->byte0$inline byte0 x)
                  (!evex-prefixes->byte0$inline byte0-equiv x)))
  :rule-classes :congruence)

Theorem: !evex-prefixes->byte0$inline-of-evex-prefixes-fix-x

(defthm !evex-prefixes->byte0$inline-of-evex-prefixes-fix-x
  (equal (!evex-prefixes->byte0$inline byte0 (evex-prefixes-fix x))
         (!evex-prefixes->byte0$inline byte0 x)))

Theorem: !evex-prefixes->byte0$inline-evex-prefixes-equiv-congruence-on-x

(defthm
   !evex-prefixes->byte0$inline-evex-prefixes-equiv-congruence-on-x
  (implies (evex-prefixes-equiv x x-equiv)
           (equal (!evex-prefixes->byte0$inline byte0 x)
                  (!evex-prefixes->byte0$inline byte0 x-equiv)))
  :rule-classes :congruence)

Theorem: !evex-prefixes->byte0-is-evex-prefixes

(defthm !evex-prefixes->byte0-is-evex-prefixes
  (equal (!evex-prefixes->byte0 byte0 x)
         (change-evex-prefixes x :byte0 byte0)))

Theorem: evex-prefixes->byte0-of-!evex-prefixes->byte0

(defthm evex-prefixes->byte0-of-!evex-prefixes->byte0
  (b* ((?new-x (!evex-prefixes->byte0$inline byte0 x)))
    (equal (evex-prefixes->byte0 new-x)
           (8bits-fix byte0))))

Theorem: !evex-prefixes->byte0-equiv-under-mask

(defthm !evex-prefixes->byte0-equiv-under-mask
  (b* ((?new-x (!evex-prefixes->byte0$inline byte0 x)))
    (evex-prefixes-equiv-under-mask new-x x -256)))

Function: !evex-prefixes->byte1$inline

(defun !evex-prefixes->byte1$inline (byte1 x)
 (declare (xargs :guard (and (8bits-p byte1)
                             (evex-prefixes-p x))))
 (mbe
     :logic
     (b* ((byte1 (mbe :logic (8bits-fix byte1)
                      :exec byte1))
          (x (evex-prefixes-fix x)))
       (part-install byte1 x :width 8 :low 8))
     :exec (the (unsigned-byte 32)
                (logior (the (unsigned-byte 32)
                             (logand (the (unsigned-byte 32) x)
                                     (the (signed-byte 17) -65281)))
                        (the (unsigned-byte 16)
                             (ash (the (unsigned-byte 8) byte1)
                                  8))))))

Theorem: evex-prefixes-p-of-!evex-prefixes->byte1

(defthm evex-prefixes-p-of-!evex-prefixes->byte1
  (b* ((new-x (!evex-prefixes->byte1$inline byte1 x)))
    (evex-prefixes-p new-x))
  :rule-classes :rewrite)

Theorem: !evex-prefixes->byte1$inline-of-8bits-fix-byte1

(defthm !evex-prefixes->byte1$inline-of-8bits-fix-byte1
  (equal (!evex-prefixes->byte1$inline (8bits-fix byte1)
                                       x)
         (!evex-prefixes->byte1$inline byte1 x)))

Theorem: !evex-prefixes->byte1$inline-8bits-equiv-congruence-on-byte1

(defthm !evex-prefixes->byte1$inline-8bits-equiv-congruence-on-byte1
  (implies (8bits-equiv byte1 byte1-equiv)
           (equal (!evex-prefixes->byte1$inline byte1 x)
                  (!evex-prefixes->byte1$inline byte1-equiv x)))
  :rule-classes :congruence)

Theorem: !evex-prefixes->byte1$inline-of-evex-prefixes-fix-x

(defthm !evex-prefixes->byte1$inline-of-evex-prefixes-fix-x
  (equal (!evex-prefixes->byte1$inline byte1 (evex-prefixes-fix x))
         (!evex-prefixes->byte1$inline byte1 x)))

Theorem: !evex-prefixes->byte1$inline-evex-prefixes-equiv-congruence-on-x

(defthm
   !evex-prefixes->byte1$inline-evex-prefixes-equiv-congruence-on-x
  (implies (evex-prefixes-equiv x x-equiv)
           (equal (!evex-prefixes->byte1$inline byte1 x)
                  (!evex-prefixes->byte1$inline byte1 x-equiv)))
  :rule-classes :congruence)

Theorem: !evex-prefixes->byte1-is-evex-prefixes

(defthm !evex-prefixes->byte1-is-evex-prefixes
  (equal (!evex-prefixes->byte1 byte1 x)
         (change-evex-prefixes x :byte1 byte1)))

Theorem: evex-prefixes->byte1-of-!evex-prefixes->byte1

(defthm evex-prefixes->byte1-of-!evex-prefixes->byte1
  (b* ((?new-x (!evex-prefixes->byte1$inline byte1 x)))
    (equal (evex-prefixes->byte1 new-x)
           (8bits-fix byte1))))

Theorem: !evex-prefixes->byte1-equiv-under-mask

(defthm !evex-prefixes->byte1-equiv-under-mask
  (b* ((?new-x (!evex-prefixes->byte1$inline byte1 x)))
    (evex-prefixes-equiv-under-mask new-x x -65281)))

Function: !evex-prefixes->byte2$inline

(defun !evex-prefixes->byte2$inline (byte2 x)
 (declare (xargs :guard (and (8bits-p byte2)
                             (evex-prefixes-p x))))
 (mbe
  :logic
  (b* ((byte2 (mbe :logic (8bits-fix byte2)
                   :exec byte2))
       (x (evex-prefixes-fix x)))
    (part-install byte2 x :width 8 :low 16))
  :exec (the (unsigned-byte 32)
             (logior (the (unsigned-byte 32)
                          (logand (the (unsigned-byte 32) x)
                                  (the (signed-byte 25) -16711681)))
                     (the (unsigned-byte 24)
                          (ash (the (unsigned-byte 8) byte2)
                               16))))))

Theorem: evex-prefixes-p-of-!evex-prefixes->byte2

(defthm evex-prefixes-p-of-!evex-prefixes->byte2
  (b* ((new-x (!evex-prefixes->byte2$inline byte2 x)))
    (evex-prefixes-p new-x))
  :rule-classes :rewrite)

Theorem: !evex-prefixes->byte2$inline-of-8bits-fix-byte2

(defthm !evex-prefixes->byte2$inline-of-8bits-fix-byte2
  (equal (!evex-prefixes->byte2$inline (8bits-fix byte2)
                                       x)
         (!evex-prefixes->byte2$inline byte2 x)))

Theorem: !evex-prefixes->byte2$inline-8bits-equiv-congruence-on-byte2

(defthm !evex-prefixes->byte2$inline-8bits-equiv-congruence-on-byte2
  (implies (8bits-equiv byte2 byte2-equiv)
           (equal (!evex-prefixes->byte2$inline byte2 x)
                  (!evex-prefixes->byte2$inline byte2-equiv x)))
  :rule-classes :congruence)

Theorem: !evex-prefixes->byte2$inline-of-evex-prefixes-fix-x

(defthm !evex-prefixes->byte2$inline-of-evex-prefixes-fix-x
  (equal (!evex-prefixes->byte2$inline byte2 (evex-prefixes-fix x))
         (!evex-prefixes->byte2$inline byte2 x)))

Theorem: !evex-prefixes->byte2$inline-evex-prefixes-equiv-congruence-on-x

(defthm
   !evex-prefixes->byte2$inline-evex-prefixes-equiv-congruence-on-x
  (implies (evex-prefixes-equiv x x-equiv)
           (equal (!evex-prefixes->byte2$inline byte2 x)
                  (!evex-prefixes->byte2$inline byte2 x-equiv)))
  :rule-classes :congruence)

Theorem: !evex-prefixes->byte2-is-evex-prefixes

(defthm !evex-prefixes->byte2-is-evex-prefixes
  (equal (!evex-prefixes->byte2 byte2 x)
         (change-evex-prefixes x :byte2 byte2)))

Theorem: evex-prefixes->byte2-of-!evex-prefixes->byte2

(defthm evex-prefixes->byte2-of-!evex-prefixes->byte2
  (b* ((?new-x (!evex-prefixes->byte2$inline byte2 x)))
    (equal (evex-prefixes->byte2 new-x)
           (8bits-fix byte2))))

Theorem: !evex-prefixes->byte2-equiv-under-mask

(defthm !evex-prefixes->byte2-equiv-under-mask
  (b* ((?new-x (!evex-prefixes->byte2$inline byte2 x)))
    (evex-prefixes-equiv-under-mask new-x x -16711681)))

Function: !evex-prefixes->byte3$inline

(defun !evex-prefixes->byte3$inline (byte3 x)
 (declare (xargs :guard (and (8bits-p byte3)
                             (evex-prefixes-p x))))
 (mbe :logic
      (b* ((byte3 (mbe :logic (8bits-fix byte3)
                       :exec byte3))
           (x (evex-prefixes-fix x)))
        (part-install byte3 x :width 8 :low 24))
      :exec
      (the (unsigned-byte 32)
           (logior (the (unsigned-byte 32)
                        (logand (the (unsigned-byte 32) x)
                                (the (signed-byte 33) -4278190081)))
                   (the (unsigned-byte 32)
                        (ash (the (unsigned-byte 8) byte3)
                             24))))))

Theorem: evex-prefixes-p-of-!evex-prefixes->byte3

(defthm evex-prefixes-p-of-!evex-prefixes->byte3
  (b* ((new-x (!evex-prefixes->byte3$inline byte3 x)))
    (evex-prefixes-p new-x))
  :rule-classes :rewrite)

Theorem: !evex-prefixes->byte3$inline-of-8bits-fix-byte3

(defthm !evex-prefixes->byte3$inline-of-8bits-fix-byte3
  (equal (!evex-prefixes->byte3$inline (8bits-fix byte3)
                                       x)
         (!evex-prefixes->byte3$inline byte3 x)))

Theorem: !evex-prefixes->byte3$inline-8bits-equiv-congruence-on-byte3

(defthm !evex-prefixes->byte3$inline-8bits-equiv-congruence-on-byte3
  (implies (8bits-equiv byte3 byte3-equiv)
           (equal (!evex-prefixes->byte3$inline byte3 x)
                  (!evex-prefixes->byte3$inline byte3-equiv x)))
  :rule-classes :congruence)

Theorem: !evex-prefixes->byte3$inline-of-evex-prefixes-fix-x

(defthm !evex-prefixes->byte3$inline-of-evex-prefixes-fix-x
  (equal (!evex-prefixes->byte3$inline byte3 (evex-prefixes-fix x))
         (!evex-prefixes->byte3$inline byte3 x)))

Theorem: !evex-prefixes->byte3$inline-evex-prefixes-equiv-congruence-on-x

(defthm
   !evex-prefixes->byte3$inline-evex-prefixes-equiv-congruence-on-x
  (implies (evex-prefixes-equiv x x-equiv)
           (equal (!evex-prefixes->byte3$inline byte3 x)
                  (!evex-prefixes->byte3$inline byte3 x-equiv)))
  :rule-classes :congruence)

Theorem: !evex-prefixes->byte3-is-evex-prefixes

(defthm !evex-prefixes->byte3-is-evex-prefixes
  (equal (!evex-prefixes->byte3 byte3 x)
         (change-evex-prefixes x :byte3 byte3)))

Theorem: evex-prefixes->byte3-of-!evex-prefixes->byte3

(defthm evex-prefixes->byte3-of-!evex-prefixes->byte3
  (b* ((?new-x (!evex-prefixes->byte3$inline byte3 x)))
    (equal (evex-prefixes->byte3 new-x)
           (8bits-fix byte3))))

Theorem: !evex-prefixes->byte3-equiv-under-mask

(defthm !evex-prefixes->byte3-equiv-under-mask
  (b* ((?new-x (!evex-prefixes->byte3$inline byte3 x)))
    (evex-prefixes-equiv-under-mask new-x x 16777215)))

Function: evex-prefixes-debug$inline

(defun evex-prefixes-debug$inline (x)
  (declare (xargs :guard (evex-prefixes-p x)))
  (b* (((evex-prefixes x)))
    (cons (cons 'byte0 x.byte0)
          (cons (cons 'byte1 x.byte1)
                (cons (cons 'byte2 x.byte2)
                      (cons (cons 'byte3 x.byte3) nil))))))

Subtopics

!evex-prefixes->byte3

Update the |X86ISA|::|BYTE3| field of a evex-prefixes bit structure.

!evex-prefixes->byte2

Update the |X86ISA|::|BYTE2| field of a evex-prefixes bit structure.

!evex-prefixes->byte1

Update the |X86ISA|::|BYTE1| field of a evex-prefixes bit structure.

!evex-prefixes->byte0

Update the |X86ISA|::|BYTE0| field of a evex-prefixes bit structure.

Evex-prefixes-p

Recognizer for evex-prefixes bit structures.

Evex-prefixes->byte3

Access the |X86ISA|::|BYTE3| field of a evex-prefixes bit structure.

Evex-prefixes->byte2

Access the |X86ISA|::|BYTE2| field of a evex-prefixes bit structure.

Evex-prefixes->byte1

Access the |X86ISA|::|BYTE1| field of a evex-prefixes bit structure.

Evex-prefixes-fix

Fixing function for evex-prefixes bit structures.

Evex-prefixes->byte0

Access the |X86ISA|::|BYTE0| field of a evex-prefixes bit structure.