The Ultimate Absolute Seventh

This is basic to a number of variations, in the queen versus rook endgame studies: the ultimate absolute seventh position. Here is one example:

queen vs rook end game - ultimate absolute seventh

Black to move is faced with three threats of checkmate, with no move available for the defending king. No rook move can prevent all three mate threats and stalemate is not available. This may appear too simplistic and easy a position, but something like this can be achieved when the attacker knows how to handle certain defenses in which the defending king is on the edge of the board.

Note that if the rook were on d8 instead of f8 Black would still be lost.

Consider also the more general absolute seventh.