Whether the character of Order presupposes the baptismal character?

Objections

Objection 1 : It would seem that the character of Order does not presuppose the character of Baptism. For the character of Order makes a man a dispenser of the sacraments; while the character of Baptism makes him a recipient of them. Now active power does not necessarily presuppose passive power, for it can be without it, as in God. Therefore the character of Order does not necessarily presuppose the character of Baptism.
Objection 2 : Further, it may happen that a man is not baptized, and yet think with probability that he has been baptized. If therefore such a person present himself for Orders, he will not receive the character of Order, supposing the character of Order to presuppose the character of Baptism; and consequently whatever he does by way of consecration or absolution will be invalid, and the Church will be deceived therein, which is inadmissible.