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Evex-byte1

!evex-byte1->mmm

Update the |X86ISA|::|MMM| field of a evex-byte1 bit structure.

Signature
(!evex-byte1->mmm mmm byte1) → new-byte1
Arguments: mmm — Guard (3bits-p mmm).; byte1 — Guard (evex-byte1-p byte1).
Returns: new-byte1 — Type (evex-byte1-p new-byte1).

Definitions and Theorems

Function: !evex-byte1->mmm$inline

(defun !evex-byte1->mmm$inline (mmm byte1)
  (declare (xargs :guard (and (3bits-p mmm)
                              (evex-byte1-p byte1))))
  (mbe :logic
       (b* ((mmm (mbe :logic (3bits-fix mmm) :exec mmm))
            (byte1 (evex-byte1-fix byte1)))
         (part-install mmm byte1
                       :width 3
                       :low 0))
       :exec (the (unsigned-byte 8)
                  (logior (the (unsigned-byte 8)
                               (logand (the (unsigned-byte 8) byte1)
                                       (the (signed-byte 4) -8)))
                          (the (unsigned-byte 3) mmm)))))

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

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

Theorem: !evex-byte1->mmm$inline-of-3bits-fix-mmm

(defthm !evex-byte1->mmm$inline-of-3bits-fix-mmm
  (equal (!evex-byte1->mmm$inline (3bits-fix mmm)
                                  byte1)
         (!evex-byte1->mmm$inline mmm byte1)))

Theorem: !evex-byte1->mmm$inline-3bits-equiv-congruence-on-mmm

(defthm !evex-byte1->mmm$inline-3bits-equiv-congruence-on-mmm
  (implies (3bits-equiv mmm mmm-equiv)
           (equal (!evex-byte1->mmm$inline mmm byte1)
                  (!evex-byte1->mmm$inline mmm-equiv byte1)))
  :rule-classes :congruence)

Theorem: !evex-byte1->mmm$inline-of-evex-byte1-fix-byte1

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

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

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

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

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

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

(defthm evex-byte1->mmm-of-!evex-byte1->mmm
  (b* ((?new-byte1 (!evex-byte1->mmm$inline mmm byte1)))
    (equal (evex-byte1->mmm new-byte1)
           (3bits-fix mmm))))

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

(defthm !evex-byte1->mmm-equiv-under-mask
  (b* ((?new-byte1 (!evex-byte1->mmm$inline mmm byte1)))
    (evex-byte1-equiv-under-mask new-byte1 byte1 -8)))