Fun mate! Not forced though I'm afraid, his 2nd to last move white wasn't forced to capture the rook. Also because he's up a piece, he can certainly afford to leave the bishop there and let black take it (because as the game showed it's mate otherwise).
Puzzle
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http://www.chess.com/livechess/game?id=392753080#
I played this game recently and thought the last 5 moves (or four) could make a really good puzzle.. any opinions