The Primacy of Ireland belongs to the diocesan bishops of the Irish dioceses with highest precedence. The Archbishop of Armagh is titled Primate of All Ireland and the Archbishop of Dublin Primate of Ireland, signifying that they are the senior clerics on the island of Ireland, the Primate of All Ireland being the more senior. The titles are used by both the Catholic Church in Ireland and Church of Ireland.
Primate is a title of honour, and in the Middle Ages there was an intense rivalry between Armagh and Dublin as to seniority. The Archbishop of Armagh's leading status was based on the belief that his see was founded by St. Patrick, making Armagh the ecclesiastical capital of Ireland. On the other hand, Dublin, after the Anglo-Norman invasion of Ireland, was the administrative centre of the country, and its largest city. The dispute between the two archbishoprics was settled by Pope Innocent VI in 1353, with occasional brief controversy since. The distinction mirrors that in the Church of England between the Primate of All England, the Archbishop of Canterbury, and the Primate of England, the Archbishop of York.