Adrien Broner -- Cops Have Video of Alleged Robbery

Adrien Broner may be done in by instant replay -- 'cause police say they have video from the alleged violent robbery outside of a Cincinnati bowling alley that could sink the boxer.

TMZ Sports has confirmed ... officials have video from outside of the Cincinnati bowling alley -- which they believe will help prove Broner beat up and robbed a man with a gun on January 21st.

Sources connected to the case tell us the video is grainy and dark and you can't see any fighting -- you CAN hear a voice that sounds like Broner demanding, "Give me my money back."

We're told you can also hear people imploring Broner -- "A.B. chill ... A.B. c'mon!"

Broner has been charged with felonious assault and robbery -- and faces serious prison time if convicted.