It must be borne in mind, however, that the designation " Catholic " was equally claimed by all the warring parties within the church at various times; thus, the followers of Arius and Athanasius alike called themselves Catholics, and it was only the ultimate victory of the latter that has reserved for them in history the name of Catholic, and branded the former as Arian.
The successor of Meletius was Euzoeus, who had fallen with Arius under the ban of Athanasius; and Loofs explains the subita fidei mutatio which St Jerome (ann.
Petri," " ubi Petrus baptizavit," " ubi Petrus Arius sedit."
Theodotus was excommunicated by the bishop of Rome, Victor, c. 195, but his followers lived on under a younger teacher of the same name and under Artemon, while in the East similar views were expounded by Beryllus of Bostra and Paul of Samosata, who undoubtedly influenced Lucian of Antioch and his school, including Arius and, later, Nestorius.
When Arius asserted the subordination of the Son to the Father, and denied the eternal generation, Athanasius and his party asserted the Homoousia, the cosubstantiality of the Father and the Son.