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Increment-elim

Vl-class-increwrite

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

Definitions and Theorems

Function: vl-class-increwrite

(defun vl-class-increwrite (x)
  (declare (xargs :guard (vl-class-p x)))
  (let ((__function__ 'vl-class-increwrite))
    (declare (ignorable __function__))
    (b* (((vl-class x) (vl-class-fix x)))
      (b* ((fundecls (vl-fundecllist-increwrite x.fundecls))
           (taskdecls (vl-taskdecllist-increwrite x.taskdecls)))
        (change-vl-class x
                         :fundecls fundecls
                         :taskdecls taskdecls)))))

Theorem: vl-class-p-of-vl-class-increwrite

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

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

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

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

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