CathInfo.com

On the other hand, the revival of Arianism through the Nestorian heresy shows that the Church declared that an heretic bishop does lose his office when he officially teaches heresy.

"Finally, the Holy Fathers teach unanimously not only that heretics are outside of the Church, but also that they are "ipso facto" deprived of all ecclesiastical jurisdiction and dignity. St. Cyprian (lib. 2, epist. 6) says: 'We affirm that absolutely no heretic or schismatic has any power or right'; and he also teaches (lib. 2, epist. 1) that the heretics who return to the Church must be received as laymen, even though they have been formerly priests or bishops in the Church. St. Optatus (lib. 1 cont. Parmen.) teaches that heretics and schismatics cannot have the keys of the kingdom of heaven, nor bind nor loose. St. Ambrose (lib. 1 de poenit., ca. 2), St. Augustine (in Enchir., cap 65), St. Jerome (lib. cont. Lucifer.) teach the same.

"Pope St. Celestine I (epist. ad Jo. Antioch., which appears in Conc. Ephes., tom. I, cap. 19) wrote: 'It is evident that he [who has been excommunicated by Nestorius] has remained and remains in communion with us, and that we do not consider destituted [i.e. deprived of office, by judgment of Nestorius], anyone who has been excommunicated or deprived of his charge, either episcopal or clerical, by Bishop Nestorius or by the others who followed him, after they commenced preaching heresy. For he who had already shown himself as deserving to be excommunicated, could not excommunicate anyone by his sentence.'

"And in a letter to the clergy of Constantinople, Pope St. Celestine I says: 'The authority of Our Apostolic See has determined that the bishop, cleric, or simple Christian who had been deposed or excommunicated by Nestorius or his followers, after the latter began to preach heresy shall not be considered deposed or excommunicated. For he who had defected from the faith with such preachings, cannot depose or remove anyone whatsoever.'

"St. Nicholas I (epist. ad Michael) repeats and confirms the same. Finally, St. Thomas also teaches (S. Theol., II-II, q. 39, a. 3) that schismatics immediately lose all jurisdiction, and that anything they try to do on the basis of any jurisdiction will be null.

"There is no basis for that which some respond to this: that these Fathers based themselves on ancient law, while nowadays, by decree of the Council of Constance, they alone lose their jurisdiction who are excommunicated by name or who assault clerics. This argument, I say, has no value at all, for those Fathers, in affirming that heretics lose jurisdiction, did not cite any human law, which furthermore perhaps did not exist in relation to the matter, but argued on the basis of the very nature of heresy. The Council of Constance only deals with the excommunicated, that is, those who have lost jurisdiction by sentence of the Church, while heretics already before being excommunicated are outside the Church and deprived of all jurisdiction. For they have already been condemned by their own sentence, as the Apostle teaches (Tit. 3:10-11), that is, they have been cut off from the body of the Church without excommunication, as St. Jerome affirms.

So, St. Athansius defends the Church from the Arian heresy and issues some pretty good condemnations of the heretics which included Bishops. But what happened to the heretic Bishops when the smoke cleared? Did they revert back to being Catholics? Did new Bishops have to be consecrated? Did they lose their offices? How was this historically acknowledged? Or did they merely die off as heretics and slowly the tottering ship righted itself?

Thanks in advance for your replies.