The Principle Of 2 Weaknesses

In your endgames, a single weakness of your opponent's may not be enough for you to win with - a second weakness is then necessary in order to win. In the given position the black king is overworked: it cannot stop white's a pawn and defend the kingside at the same time, so white deflects the king and wins:

1. a5 Kd6 2. Kf5 and either the a pawn promotes or black loses the kingside pawns and white will promote on the kingside.

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