=pocohombre;11451404]Iranesu mentions Rome having superior origin, because of Peter and Paul. Does not mention Peter as pope or having authority over the other churches and their respective succession of bishops. Rome does represent the unity that is to be found in Church. It is not jurisdictional.
The Early Church Fathers on
The Primacy of Peter/Rome
The Early Church Fathers understood from the beginning that Peter and his successors held a place of primacy in the Church.
Clement of Rome
Accept our counsel and you will have nothing to regret. . . . If anyone disobeys the things which have been said by him [Jesus] through us, let them know that they will involve themselves in no small danger. We, however, shall be innocent of this sin and will pray with entreaty and supplication that the Creator of all may keep unharmed the number of his elect (Letter to the Corinthians 58:2, 59:1[A.D. 95]).
Ignatius of Antioch
You [the See of Rome] have envied no one, but others have you taught. I desire only that what you have enjoined in your instructions may remain in force (Epistle to the Romans 3:1 [A.D. 110]).
Irenaeus
But since it would be too long to enumerate in such a volume as this the succession of all the churches, we shall confound all those who, in whatever manner, whether through self-satisfaction or vainglory, or through blindness and wicked opinion, assemble other than where it is proper, by pointing out here the successions of the bishops of the greatest and most ancient church known to all, founded and organized at Rome by the two most glorious apostles. Peter and Paul, that church which has the tradition and the faith which comes down to us after having been announced to men by the apostles. With that church, because of its superior origin, all the churches must agree, that is, all the faithful in the whole world, and it is in her that the faithful everywhere have maintained the apostolic tradition (Against Heresies 3:3:2 [inter A.D. 180-190]).
Clement of Alexandria
[T]he blessed Peter, the chosen, the preeminent, the first among the disciples, for whom alone with himself the Savior paid the tribute [Matt. 17:27], quickly grasped and understood their meaning. And what does he say? “Behold, we have left all and have followed you” [Matt. 19:2 7, Mark 10:28] (Who is the Rich Man That is Saved? 21:3-5 [A.D. 200]).
Tertullian
[T]he Lord said to Peter, “On this rock I will build my Church, I have given you the keys of the kingdom of heaven [and] whatever you shall have bound or loosed on earth will be bound or loosed in heaven” [Matt. 16:18-19]. … Upon you, he says, I will build my Church; and I will give to you the keys, not to the Church; and whatever you shall have bound or you shall have loose and, not what they shall have bound or they shall have loosed (Modesty 21:9-10 [A.D. 220]).
Letter of Clement to James
Be it known to you, my lord, that Simon [Peter], who, for the sake of the true faith, and the most sure foundation of his doctrine, was set apart to be the foundation of the Church, and for this end was by Jesus himself, with his truthful mouth, named Peter, the first-fruits of our Lord, the first of the apostles; to whom first the Father revealed the Son; whom the Christ, with good reason, blessed; the called, and elect (Letter of Clement to James 2 [A.D, 221]).
Cyprian
With a false bishop appointed for themselves by heretics, they dare even to set sail and carry letters from schismatics and blasphemers to the Chair of Peter and to the principal church [at Rome], in which sacerdotal unity has its source" (Epistle to Cornelius [Bishop of Rome] 59:14 [A.D. 252]).
Cyril of Jerusalem
In the power of the same Holy Spirit, Peter, both the chief of the apostles and the keeper of the keys of the kingdom of heaven, in the name of Christ healed Aeneas the paralytic at Lydda, which is now called Diospolis [Acts 9 ;3 2-3 4] (Catechetical Lectures 17;27 [A.D. 350]).
Ambrose of Milan
[Christ] made answer: “You are Peter, and upon this rock will I build my Church . . .” Could he not, then, strengthen the faith of the man to whom, acting on his own authority, he gave the kingdom, whom he called the rock, thereby declaring him to be the foundation of the Church [Matt. 16:18]? (The Faith 4:5 [A.D. 379]).
Augustine
Among these [apostles] Peter alone almost everywhere deserved to represent the whole Church. Because of that representation of the Church, which only he bore, he deserved to hear “I will give to you the keys of the kingdom of heaven” (Sermons 295:2 [A.D. 411]).
Who is ignorant that the first of the apostles is the most blessed Peter? (Commentary on John 56:1 [A.D. 416]).
Continued Blessings my friend!