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The Troitzky (or Troitsky) line is a key motif in chess endgame theory. Whilst two knights cannot force checkmate (with the help of their king) against a lone king, ironically a decrease in material advantage allowing the defending king a pawn to help can actually cause his demise. This is due to the fact that a common tabiya in this endgame is that of reducing the defending king to a stalemate position, yet allowing the pawn to move, can allow the attacking knights to move in for the kill. For the position with White on the attack, it is established that if a black pawn is blockaded on a square by a knight no further forward than the line a4-b6-c5-d4-e4-f5-g6-h4, then White can win the resulting endgame (and similarly in reverse for Black)
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