The Angelic Doctor Against the Errors of the Greeks - Part Two - Chapter 34

That the same possesses in the Church a fullness of power.

It is also established from the texts of the aforesaid Doctors that the Roman Pontiff possesses a fullness of power in the Church. For Cyril, the Patriarch of Alexandria, says in his Thesaurus: “As Christ coming forth from Israel as leader and sceptre of the Church of the Gentiles was granted by the Father the fullest power over every principality and power and whatever is that all might bend the knee to him, so he entrusted most fully the fullest power to Peter and his successors.” And again: “To no one else but Peter and to him alone Christ gave what is his fully.” And further on: “The feet of Christ are his humanity, that is, the man himself, to whom the whole Trinity gave the fullest power, whom one of the Three assumed in the unity of his person and lifted up on high to the Father above every principality and power, so that all the angels of God might adore him (Heb. 1:6); which whole and entire he has left in sacrament and power to Peter and to his Church.” 

And Chrysostom says to the Bulgarian delegation  speaking in the person of Christ: “Three times I ask you whether you love me, because you denied me three times out of fear and trepidation. Now restored, however, lest the brethren believe you to have lost the grace and authority of the keys, I now confirm in you that which is fully mine, because you love me in their presence.” 

This is also taught on the authority of Scripture. For in Matthew 16: 19 the Lord said to Peter without restriction: Whatsoever you shall bind upon earth shall be bound in heaven.