Future to Ciara Put Up Or Shut Up About Your $500k Deal

Future had nothing to do with Ciara losing a huge paycheck -- if there ever was one -- so it shouldn't be part of her lawsuit against him ... according to the rapper.

TMZ broke the story, Ciara says her baby daddy cost her half a million bucks by trash-talking her and scaring an international cosmetics company away from doing business with her.

Future believes the whole cosmetics story is B.S. ... and in docs he says Ciara has no proof any such deal fell apart. Further, he points out she hasn't even said which company was supposedly courting her.

Ciara's $15 mil defamation suit against Future is still in play, but he wants the judge to at least dismiss this part of her claims.

-TMZ