tesham -- for them; pramanam -- authority; bhagavan -- Lord Krishna; prabhutvena -- on account of His being the Supreme Personality of Godhead; abhavat -- was; harih -- Lord Hari; ye -- they who; ca -- and; anuvartinah -- personal associates; tasya -- His; vavridhuh -- prospered; sarva -- all; yadavah -- the Yadavas.

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