Comes down to this:Tome of Leo
Often cited as a proof of Papal Supremacy is the Tome of Leo which is a letter sent by Pope Leo to the Second Ecumenical Council. It in part seems to suggest that Leo speaks with the authority of Peter. It is the position of Orthodox Christianity that the approval of the Tome is simply to state a unity of faith, not only of the pope but other churchmen as well.
"After reading of the forgoing epistle (Pope Leo's), the most reverend bishops cried out: "This is the faith of the fathers, this is the faith of the Apostles. So we all believe, thus the orthodox believe. Anathema to him who does not thus believe. Peter has spoken thus through Leo. So taught the Apostles. Piously and truly did Leo teach, so taught Cyril. Everlasting be the memory of Cyril. Leo and Cyril taught the same thing, anathema to him who does not so believe. This is the true faith. Those of us who are orthodox thus believe.”
However it is not just Leo's teaching that is the teaching of the Apostle, but Cyril's teaching as well. Both teach as Peter. The same language was used following the reading of Cyril's letter at the council. The language of the council is simply to reinforce that all believe. At the Third Ecumenical Council Pope Celestine and Cyril were compared to Paul!
Do you think Peter was the leader of the Apostles or not?
If Christ set up his Church like that, then its safe to say that the next generation of Apostles also had a leader....and the next and next.