Hello,

Today I made a mistake by shoving ATo vs. 4Bet (SB vs. BU). Looked on wrong stat fold to 5bet, but nvm. After session I deceided to calculate this situation. 

I wrote in Ed Miller's book that we could shove in same situations SCs, also I thought that it is good spot to bluff push hands w/ blockers... but here is my calculations:

Villain's 4Bet range on BU is 9% and he folds to 5Bet on BU 50%. I give him AQ+, TT+ calling 5 Bet range (4.68%).
It's NL 25. I was using PokerMaths for calculations.

Deadmoney: 7.92$
Total Pot Size:  50.25$
Break-Even Eq: (DM*FE+(FE-1)*Stack)/((FE-1)*POT) = 34.03% (35.821% with rake)
ATo have only 26.26% vs. this range.

But we can push 22+, AQ+ (w/o rake) and 33+, AQs (w/ rake included).

Does that means that it is good idea to 3B/Push small poket pairs in this situation (I have 22-55 in my 3B range SB vs. BU)?

Is everything right?