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Opcode

Opcode->group

Get the group field from a opcode.

Signature
(opcode->group x) → group
Arguments: x — Guard (opcode-p x).
Returns: group — Type (opcode-extension-group-p group).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: opcode->group$inline

(defun opcode->group$inline (x)
 (declare (xargs :guard (opcode-p x)))
 (declare (xargs :guard t))
 (let ((__function__ 'opcode->group))
  (declare (ignorable __function__))
  (mbe
    :logic
    (b* ((x (and t x)))
      (opcode-extension-group-fix
           (std::prod-cdr
                (std::prod-cdr (std::prod-cdr (std::prod-cdr x))))))
    :exec (std::prod-cdr
               (std::prod-cdr (std::prod-cdr (std::prod-cdr x)))))))

Theorem: opcode-extension-group-p-of-opcode->group

(defthm opcode-extension-group-p-of-opcode->group
  (b* ((group (opcode->group$inline x)))
    (opcode-extension-group-p group))
  :rule-classes :rewrite)

Theorem: opcode->group$inline-of-opcode-fix-x

(defthm opcode->group$inline-of-opcode-fix-x
  (equal (opcode->group$inline (opcode-fix x))
         (opcode->group$inline x)))

Theorem: opcode->group$inline-opcode-equiv-congruence-on-x

(defthm opcode->group$inline-opcode-equiv-congruence-on-x
  (implies (opcode-equiv x x-equiv)
           (equal (opcode->group$inline x)
                  (opcode->group$inline x-equiv)))
  :rule-classes :congruence)