Those ordained by schismatic bishops, who have been otherwise duly ordained, the due form having been observed, receive, indeed, ordination, but not jurisdiction.
--Pope Clement VIII, Instruction concerning the rites of the Italo-Greeks (1595), D1087.
Can. 2372. He who presumes to receive orders from one excommunicated or suspended or interdicted after a declaratory or condemnatory sentence, or from a notorious apostate, heretic, or schismatic, ipso facto contracts a suspension a divinis, reserved to the Apostolic See; however he who should be ordained in good faith by any of them lacks the exercise of the order so received until he shall be dispensed.
--Code of Canon Law (1917).
[Note: The implication is that such ordinations are valid.]
Every validly consecrated bishop, including heretical, schismatic, simonistic or excommunicated bishops, can validly dispense the Sacrament of Order, provided that he has the requisite intention, and follows the essential external rite (sent. cert.).
--Ludwig Ott, Fundamentals of Catholic Dogma (1955), p. 458.
Interesting comments which seem to fly in the face of this from the Second Council of Carthage:
“...therefore, according to the testimony of the Scriptures, and according to the decree of our colleagues, men of most holy memory, that all schismatics and heretics who are converted to the Church must be baptized; and moreover, that those who appeared to have been ordained must be received among lay people.”
Of course 2d. Carthage was a local council....
Thanks for that input, Petrosius.
Of course the Anglicans wouldn't fall into the category having lost valid orders.