Chris Brown, CeeLo Make Full Court Press

Chris Brown and CeeLo had a gig at the same place at the same time Monday ... the criminal court building in downtown L.A.

Chris was there for a hearing in the Rihanna beating case ... the judge had some questions about the D.C. assault case as well as his anger management rehab.

As for CeeLo ... he's there for a routine hearing in his felony drug case.

Chris got top billing. His hearing was on the 13th floor and CeeLo's was on the 5th.