The tesuji here is . After , Black can't create a dead shape with a, because he is in shortage of liberties (this is oshitsubushi). Note what a difference a black stone on the marked point would make.
White has to be careful to answer at and not at . The strength of is precisely that it already prevents the connection underneath.
Answering at is the only move. It appears as if White can destroy the eye after this sequence by throwing in again at , but White will simply connect at a.
After , a and b are miai. (If Black tries to leave White with a big eye by connecting at a (almost filling the enclosed space with the dead shape of three in a line), White runs to b and gets a second eye at c.)
There are many ways for White to go wrong. Let's assume she takes as the obvious move, but fails to see the tesuji of in the main line.