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Opcode

Opcode->reg

Get the reg field from a opcode.

Signature
(opcode->reg x) → reg
Arguments: x — Guard (opcode-p x).
Returns: reg — Type (maybe-3bits-p reg).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: opcode->reg$inline

(defun opcode->reg$inline (x)
 (declare (xargs :guard (opcode-p x)))
 (declare (xargs :guard t))
 (let ((__function__ 'opcode->reg))
  (declare (ignorable __function__))
  (mbe
    :logic
    (b* ((x (and t x)))
      (maybe-3bits-fix
           (std::prod-cdr
                (std::prod-cdr (std::prod-car (std::prod-car x))))))
    :exec (std::prod-cdr
               (std::prod-cdr (std::prod-car (std::prod-car x)))))))

Theorem: maybe-3bits-p-of-opcode->reg

(defthm maybe-3bits-p-of-opcode->reg
  (b* ((reg (opcode->reg$inline x)))
    (maybe-3bits-p reg))
  :rule-classes :rewrite)

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

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

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

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