Central to Roman Catholicism is the belief that Peter was appointed by Christ as the head of the church and that his office was passed down to successors leading to the present pope. However, the document provides a brief refutation of this in 3 points: 1) If Peter had successors, we would expect to see evidence of it in early Christian writings but there is none. 2) Neither Peter nor early Christian writers mention Peter's successors. 3) There are no writings from alleged successors of Peter until Pope Victor I in the late 2nd century, despite early persecution not preventing writings from Peter and Paul. So the briefest refutation is the lack of evidence from the earliest church.