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Increment-elim

Vl-taskdecl-increwrite

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

Definitions and Theorems

Function: vl-taskdecl-increwrite

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

Theorem: vl-taskdecl-p-of-vl-taskdecl-increwrite

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

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

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

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

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