ex cathedra adv 1: with the full authority of the office; "the pope must speak ex cathedra for an encyclical to be infallible"
Cathedra \Cath"e*dra\, n. [L., fr. Gr. ? seat. See {Chair}.] The official chair or throne of a bishop, or of any person in high authority. [1913 Webster] {Ex cathedra} [L., from the chair], in the exercise of one's office; with authority. [1913 Webster] The Vatican Council declares that the Pope, is infallible "when he speaks ex cathedra." --Addis & Arnold's Cath. Dict. [1913 Webster]