In 784 Tipraite defeated the Ui Fiachrach Aidhne at the Battle of Carn Conaill (near Gort).Annals of Ulster AU 784.7 Also, in 785 he defeated the northern Ui Fiachrach at the Battle of Muad (Moy River).Annals of Ulster AU 785.3 These victories established the dominance of the Ui Briun in Connacht.
