Lil Boosie -- Stop Hatin' ... The Pic's Legit And I Got Proof

Shut it ... rapper Lil Boosie has video proof for all the haters who say he Photoshopped the XMAS hangout sesh with his kids.

As TMZ previously reported ... Boosie took a lot of heat this week. He's adamantly denied doctoring pics of himself to make it look like he'd spent Christmas with his kids. This video makes it clear ... he was truth-telling.

Boosie's clearly laying in the same position and the kid -- Michael Jordan Hatch -- is striking the same pose ... and the rest of the kids? They're in the room showing dad love too.

What you got now, Internet?