Peter received correction. Had he been the first Pope and had the Pope been given immutable divine interpretation as supposed by Roman Catholic doctrine, he would not have needed correction. Paul would have shamefully exceeded his lesser authority. Their doctrine follows from a possible misinterpretation on the proclamation Jesus made that on 'this Rock' He would build His church. Rock more likely meaning the divinely revealed faith and not just Cephas 'the rock' personally kjv@Matthew:16:17-20 (literally - You are 'piece of rock' and upon this 'massive Rock' (which flesh and blood have not revealed) I build my church).
2012 - pBiblx2 Field Wise Bible System Version 2.0.9d - GPL3