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Chess and Checkers : the Way to Mastership by Edward Lasker
page 54 of 267 (20%)
although after (6) P-e6, K-e7; (7) K-e5 White has regained the
opposition he cannot keep it if Black continues correctly. The
move which saves the game for Black is K-e8. K-d8 or K-f8 lose,
as then White could go into opposition by K-d6 or K-f6. The play
in these three cases would be this: A: (7) ..., K-e8, (8) K-f6,
K-f8; (9) P-e7+, K-e8; (10) K-e6 and Black is stalemate, the game
is drawn. B: (7) ..., K-d8; (8) K-d6, K-e8; (9) P-e7 and Black
must move K-f7 enabling White to obtain control of the queening
square by (10) K-d7. C: (7) ..., K-f8, (8) K-f6, K-e8, etc.,
similar to the play in B.

To sum up the investigation of this Pawn ending: The deciding
factor is the opposition of the Kings on the 6th and 8th ranks.
If the weaker party succeeds in obtaining that opposition with
the Pawn on the 6th rank he draws the game.

If the Pawn is not yet advanced to the 6th rank the opposition of
the Kings is of no avail to the weaker party as the Pawn
advancing would force the opposing King out of opposition again.
Suppose, for instance, White has the King on e6 and the Pawn on
e5 while Black's King stands on e8 with White on the move. White
must get out of opposition by playing K-f6 or K-d6 and Black
keeps the opposition by K-f8 or K-d8. But then White has a move
to spare which forces Black out of opposition and thereby wins
the game. He plays P-e6 and the game ends in the way discussed
above.

The ending King and Pawn against King is one of the most
important for every Chess player to know, not only because a
great number of positions can be reduced to this ending by the
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