A BRAHMANA IS HE WHO HAS NO LONGINGS
Yassalaya na vijjanti annaya akathamkathi
Amatogadham anuppattam tam aham brumi brahmanam.
He who has no craving, who through knowledge of the Four Noble Truths is free from doubts, and has realised Nibbana the Deathless,
- him I call a brahmana. 
On one occasion, the bhikkhus told the Buddha the same thing they had said of Venerable Sariputta about Venerable Moggallana: that he still had attachment to worldly things. To them the Buddha said that Moggallana had discarded all craving.