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Increment-elim

Vl-always-increwrite

Signature
(vl-always-increwrite x) → new-x
Arguments: x — Guard (vl-always-p x).
Returns: new-x — Type (vl-always-p new-x).

Definitions and Theorems

Function: vl-always-increwrite

(defun vl-always-increwrite (x)
  (declare (xargs :guard (vl-always-p x)))
  (let ((__function__ 'vl-always-increwrite))
    (declare (ignorable __function__))
    (b* (((vl-always x) (vl-always-fix x)))
      (b* ((stmt (vl-stmt-increwrite-flat x.stmt)))
        (change-vl-always x :stmt stmt)))))

Theorem: vl-always-p-of-vl-always-increwrite

(defthm vl-always-p-of-vl-always-increwrite
  (b* ((new-x (vl-always-increwrite x)))
    (vl-always-p new-x))
  :rule-classes :rewrite)

Theorem: vl-always-increwrite-of-vl-always-fix-x

(defthm vl-always-increwrite-of-vl-always-fix-x
  (equal (vl-always-increwrite (vl-always-fix x))
         (vl-always-increwrite x)))

Theorem: vl-always-increwrite-vl-always-equiv-congruence-on-x

(defthm vl-always-increwrite-vl-always-equiv-congruence-on-x
  (implies (vl-always-equiv x x-equiv)
           (equal (vl-always-increwrite x)
                  (vl-always-increwrite x-equiv)))
  :rule-classes :congruence)