Gokyo Shumyo, Section 1, Problem 74 / Solution

Main line - continuation  

White captures three to make an eye. Black can't protect there because of shortage of liberties.

Variation (i) at 8  

If at here, cutting at makes miai of a and b. Note that if White sacrifices just one stone ( at c), it's a ko after at a.

Variation (i) at 8 - a  

Capturing at makes a second eye at . Black can't play at a.

Variation at 8 - b  

Here too White makes two eyes at the circled points.

Variation (ii) at 8  

If Black connects at , the atari at is sente (see next diagram) and makes a bent four living shape.

Variation (ii) at 8 - variation  

If here, capturing three stones with assures a quiet life. Even if Black throws in at , White is alive with a and b being miai.

Variation at 4  

Giving atari this way would not be very smart. White now captures either at a or at b.

Variation at 2 ( at , at a)  

is met by here. White fire off the sequence - then.

Failure (i) at 7  

If a has not yet been exchanged for b, White runs out of options. Whatever she does, Black will connect at c.

Failure (ii) at 7  

Blocking here is not sente: Black can take time to hane. White can't makes an eye in the corner because a and b are miai for Black.

If at b then at a and there are only false eyes in the corner.

Failure (i) at 5  

The sequence becomes less effective, the more preparatory moves are omitted.

Failure (ii) at 5  

See previous diagrams.

Failure: only ko  

If cuts immediately, then White can only achieve a ko and not unconditional life.