The Roman Catholic Church combines this belief with the concept that Peter later became the first bishop of Rome, and that the Roman bishops that followed Peter were accepted by the early church as the central authority among all of the churches.
Inihalo ng Simbahang Katoliko ang paniniwalang ito sa konsepto na naging unang Obispo diumano ng Roma si Pedro at tinanggap ng mga sumunod na Obispo sa Roma ang kanyang kapamahalaan at awtoridad sa lahat ng simbahan sa kalaunan.