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Opcode

Opcode->pfx

Get the pfx field from a opcode.

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

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: opcode->pfx$inline

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

Theorem: op-pfx-p-of-opcode->pfx

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

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

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

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

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