Why would you doubt that?
Would you doubt St. Optatus?
calledtocommunion.com/2011/06/st-optatus-on-schism-and-the-bishop-of-rome/
You cannot then deny that you do know that upon Peter first in the City of Rome was bestowed the Episcopal Cathedra, on which sat Peter, the Head of all the Apostles … that, in this one Cathedra, unity should be preserved by all [in qua unica Cathedra unitas ab omnibus servaretur], lest the other Apostles might claim each for himself separate Cathedras, so that he who should set up a second Cathedra against the unique Cathedra would already be a schismatic and a sinner. Well then, on the one Cathedra, which is the first of the Endowments, Peter was the first to sit.25
To Peter succeeded Linus, to Linus succeeded Clement, to Clement Anacletus, to Anacletus Evaristus, to Evaristus Sixtus, to Sixtus Telesphorus, to Telesphorus Hyginus, to Hyginus Anacetus, to Anacetus Pius, to Pius Soter, to Soter Alexander, to Alexander Victor, to Victor Zephyrinus, to Zephyrinus Calixtus, to Calixtus Urban, to Urban Pontianus, to Pontianus Anterus, to Anterus Fabian, to Fabian Cornelius, to Cornelius Lucius, to Lucius Stephen, to Stephen Sixtus; to Sixtus Dionysius, to Dionysius Felix, to Felix Marcellinus, to Marcellinus Eusebius, to Eusebius Miltiades, to Miltiades Silvester, to Silvester Marcus, to Marcus Julius, to Julius Liberius, to Liberius Damasus, to Damasus Siricius, who today is our colleague, with whom the whole world, through the intercourse of letters of peace, agrees with us in one bond of communion.
Now do you show the origins of your Cathedra, you who wish to claim the Holy Church for yourselves.26*