Petrinity

Acts certainly follows the fortunes of Paul after Peter's release and departure; and the later New Testament shows no marked Petrinity.

Source: wiktionary

He says that Peter honoured (decoravit) Alexandria by sending his disciple Mark to be bishop there; he strengthened (firmavit) Antioch by occupying the see himself there for seven years; but he exalted (sublimavit) Rome where he spent his later days and died. The clear implication is that Rome remains pre-eminent even in Petrinity.

Source: wiktionary

The corollary to this principle of Petrinity is that any entity that threatens or denies the papacy its primacy is anathema.

Source: wiktionary