Gokyo Shumyo, Section 1, Problem 46 / Solution

White lives  

The play at is the vital point.

Continuation  

The points a and b are miai now.

Failure 1  

After , Black can almost fill White's eye space with a bulky five. White can do nothing to prevent that without turning her eye space into another dead shape. (/Failure is an obsolete discussion of Failure 1)

Failure 2  

at 2-2 also fails to live unconditionally. Can't avoid ko starting at a.

Failure 2 Variation 1  

here is weaker and leads to direct ko immediately.

Failure 2 Variation 2  

For this , Black kills with and .