A9s on the button. Is this a clear push?

[OatmealJoe]

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I think you can just raise with big pairs AA-QQ.(I could be wrong here) My reasoning here is that I'm gonna go all in on the flop anyways and I'd like to get a bit more action with AA-QQ. I will tend to push any other playable hand.

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But if you are only raising big pairs (instead of pushing), doesn't that imply that a normal raise (when you are in a push-or-fold position) shows a better hand than otherwise?

Knowing that, someone could hypothetically call a push with something like AJo, but fold to a normal raise.