Wrong, and it's a common mistake people make when comparing strategies.

When you look at one individual situation - you have hand X, are on street Y and are faced with Z - then yes, the money that's already in the pot isn't yours anymore, so folding is Zero-EV. Best example is when you have a strong hand and already decided a strategy for it - then either the board runs out in a very unfortunate way or your opponent makes some unexpected move - and you're trying to figure out what to do. Now the money that's already in the pot doesn't matter anymore, you need to decide what to do about the new, unexpected situation.

But when comparing strategies, you're trying to figure out what to do every single time you got dealt that hand in that situation. Here, you're trying to figure out what to do with A2-6 in the SB for 25bb.

And now, we really need to look at this from the beginning of the hand. If folding still was zero-EV here, then you could just openfold any Ax every single time you get it in the SB at these stack sizes without facing any consequences. But that's not true, openfolding will cost you money - do it 50 times in a row and you're down a buy-in.

I don't know this guy at all but this is a pretty cool program.

Already registered.

Agree so much. I hate it when people try to justify something by saying its unexploitable when its clearly not the optimal play.

Hmm I am not sure whats with the hype around word unexploitable but another take.

1) I showed that for 25bb there is basicly no range opponent can call with to make Ax push -EV push, meaning push is unexploitable
2) I believe OP asked about push, not optimal play with A6o 25bb deep, and I was answering on original question
3) When push is unexploitable, there usually are better ways to play the hand, especially if more then 10bb deep
4) I didn't justify that push is optimal because its unexploitable.

Hey ibavly, I am a regular of 9, 6 max STT 100$+ stakes and of ST HU of middle stakes, thanks for kind words about my program.

Glad you like it

Agree that the ICMIZER looks like a great resource.

Also agree that the question of how to calculate whether or not a shove is EV at a particular stack depth is super worthwhile, as are any attempts to answer the question, even if we already assume that open shoving is not the best play overall. TBH, I don't know how you can compare your options if you don't have any idea what the EV of a shove is.

Which isn't to say there isn't value in a side discussion about the fact that demonstrating a shove is +EV doesn't necessarily make it the best play.

Also, a lot of game theory terminology gets really badly abused on the forums (or maybe it's just that people loosely use words that have very specific game theory definitions). Saying a play is "optimal" is ambiguous at best since the word has at least two game theory meanings (as in "game theory optimal" or "optimal exploitative"). I still think Bryce's post on the subject is the best overall summary.