As far as I can see, here is the only move, but I might be doing some wishful thinking in white's responses. If so, I don't see it, but that's why this is an attempt!
makes the other eye false with a and b as miai throw-ins.
pwaldron: There is a mistake here. See later.
With , white is left with just one eye. Amazing. I don't think the order is particularly important, only that when white connects under, black stops that eye, and if white captures the lone stone for an eye, black connects outside to prepare for what is essentially an under the stones tesuji.
pwaldron: After this, White gets a second eye through his own under-the-stones tesuji. erislover: Nice. Poor b!
Warder05: This secures an eye on the left. Black can not play at a until he's played and , so White actually has time to play and instead of going right for the capture.
Warder05: Since if White plays at , she lives, Black must play there to prevent that eye from forming.
Warder05: However, the extra liberty at affords room for White to make an eye despite Black's play at .
Bill: Black should play here to prevent an eye on the left. (See the /solution.) Now if , prevents a second eye on the right (as already shown).
Warder05: Thanks for responding, Bill. But one more question. I didn't think White needed to play at until black plays at a, since black puts himself in atari by playing there himself (see the above diagram).
Warder05: So, that means white can still connect, no? Black can't play at c until he's played a, which means white gets an eye on the right guaranteed. It looks to me like , in this instance sets up a sacrifice. (see next diagram).
Warder05: This sequence proceeds the same way as before, however, doesn't allow white to make an eye?
Warder05: Black captures at , but there's a key difference!
Warder05: Captures two black stones to make an eye. Meanwhile, a and b are still miai on the right for White's second eye.
Bill: Black still takes away the potential eye on the left, as in the solution.
Warder05: Thanks for being so patient. I really appreciate it.