I'll talk slower...
there is nothing for 170 years after Christ suggesting universal authority for Rome.
Your asking me to contradict something that is
non-existant
Hermas
"Therefore shall you [Hermas] write two little books and send one to Clement [Bishop of Rome] and one to Grapte. Clement shall then send it to the cities abroad, because that is his duty" (
The Shepherd 2:4:3 [A.D. 80]).
Why is it his duty?
Ignatius of Antioch
"Ignatius . . . to the church also which holds the presidency, in the location of the country of the Romans, worthy of God, worthy of honor, worthy of blessing, worthy of praise, worthy of success, worthy of sanctification, and, because you hold the presidency in love, named after Christ and named after the Father" (
Letter to the Romans 1:1 [A.D. 110]).
"You [the church at Rome] have envied no one, but others you have taught. I desire only that what you have enjoined in your instructions may remain in force" (ibid., 3:1).
Holds the presidency of what?
In force?
Dionysius of Corinth
"For from the beginning it has been your custom to do good to all the brethren in various ways and to send contributions to all the churches in every city. . . . This custom your blessed Bishop Soter has not only preserved, but is augmenting, by furnishing an abundance of supplies to the saints and by urging with consoling words, as a loving father his children, the brethren who are journeying" (
Letter to Pope Soter in Eusebius,
Church History 4:23:9 [A.D. 170]).
"Today we have observed the Lords holy day, in which we have read your letter [Pope Soter]. Whenever we do read it [in church], we shall be able to profit thereby, as also we do when we read the earlier letter written to us by Clement" (ibid., 4:23:11).
A loving father his children? ie. all the churches in every city?
Why is he comparing Soter to Clement?
But since it would be too long to enumerate in such a volume as this the successions 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. For with this Church, because of its superior origin, all 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."
St. Irenaeus, Against Heresies, 3, 3, 1-2, c. AD 190
No further explanation needed!