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Opcode

Opcode->mod

Get the mod field from a opcode.

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

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: opcode->mod$inline

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

Theorem: mod-p-of-opcode->mod

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

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

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

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

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