What the universal Church holds, not as instituted [invented] by councils but as something always held, is most correctly believed to have been handed down by apostolic authority. Since others respond for children, so that the celebration of the sacrament may be complete for them, it is certainly availing to them for their consecration, because they themselves are not able to respond.

No one can begin a new life, unless he repent of the old.

Although among heretics and schismatics there is the same Baptism, nevertheless, the remission of sins is not operative among them because of the very rottenness of discord and wickedness of dissension ... Baptism was in them, but it did not profit them outside the Church ... Outside the Church, Baptism works death because of discord.

The custom of Mother Church in baptizing infants is certainly not to be scorned, nor is it to be regarded in any way as superfluous, nor is it to be believed that its tradition is anything except apostolic.