teṣām - for them; pramāṇam - authority; bhagavān - Lord Kṛṣṇa; prabhutvena - on account of His being the Supreme Personality of Godhead; abhavat - was; hariḥ - Lord Hari; ye - they who; ca - and; anuvartinaḥ - personal associates; tasya - His; vavṛdhuḥ - prospered; sarva - all; yādavāḥ - the Yādavas.

Because Lord Kṛṣṇa is the Supreme Personality of Godhead, the Yādavas accepted Him as their ultimate authority. And among them, all those who were His intimate associates especially flourished.