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Vex3-byte1

Vex3-byte1->m-mmmm

Access the |X86ISA|::|M-MMMM| field of a vex3-byte1 bit structure.

Signature
(vex3-byte1->m-mmmm vex3byte1) → m-mmmm
Arguments: vex3byte1 — Guard (vex3-byte1-p vex3byte1).
Returns: m-mmmm — Type (5bits-p m-mmmm).

Definitions and Theorems

Function: vex3-byte1->m-mmmm$inline

(defun vex3-byte1->m-mmmm$inline (vex3byte1)
  (declare (xargs :guard (vex3-byte1-p vex3byte1)))
  (mbe :logic
       (let ((vex3byte1 (vex3-byte1-fix vex3byte1)))
         (part-select vex3byte1 :low 0 :width 5))
       :exec (the (unsigned-byte 5)
                  (logand (the (unsigned-byte 5) 31)
                          (the (unsigned-byte 8) vex3byte1)))))

Theorem: 5bits-p-of-vex3-byte1->m-mmmm

(defthm 5bits-p-of-vex3-byte1->m-mmmm
  (b* ((m-mmmm (vex3-byte1->m-mmmm$inline vex3byte1)))
    (5bits-p m-mmmm))
  :rule-classes :rewrite)

Theorem: vex3-byte1->m-mmmm$inline-of-vex3-byte1-fix-vex3byte1

(defthm vex3-byte1->m-mmmm$inline-of-vex3-byte1-fix-vex3byte1
  (equal (vex3-byte1->m-mmmm$inline (vex3-byte1-fix vex3byte1))
         (vex3-byte1->m-mmmm$inline vex3byte1)))

Theorem: vex3-byte1->m-mmmm$inline-vex3-byte1-equiv-congruence-on-vex3byte1

(defthm
 vex3-byte1->m-mmmm$inline-vex3-byte1-equiv-congruence-on-vex3byte1
 (implies (vex3-byte1-equiv vex3byte1 vex3byte1-equiv)
          (equal (vex3-byte1->m-mmmm$inline vex3byte1)
                 (vex3-byte1->m-mmmm$inline vex3byte1-equiv)))
 :rule-classes :congruence)

Theorem: vex3-byte1->m-mmmm-of-vex3-byte1

(defthm vex3-byte1->m-mmmm-of-vex3-byte1
  (equal (vex3-byte1->m-mmmm (vex3-byte1 m-mmmm b x r))
         (5bits-fix m-mmmm)))

Theorem: vex3-byte1->m-mmmm-of-write-with-mask

(defthm vex3-byte1->m-mmmm-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     vex3byte1 vex3-byte1-equiv-under-mask)
                (vex3-byte1-equiv-under-mask vex3byte1 y fty::mask)
                (equal (logand (lognot fty::mask) 31)
                       0))
           (equal (vex3-byte1->m-mmmm vex3byte1)
                  (vex3-byte1->m-mmmm y))))