"the bottom line is that the button raised and then you shoved hoping he would fold. My point is that if you had been the button and shoved with him in the bb you had a much greater chance of making him fold than by doing so after he has already lead out with a bet."
I see what you're saying you're talking about first in vigorish right? I understand the concept of first in vigorish, but it's still no reason to fold reasonable hands. A7 suited is a very good hand in this spot in the top 10% (or is it top 20%? I think it's top 10%). The button has a wide raising range here, I'd say any Ace, any pair, any decent King, decent Qs, and medium suited connectors. And I'm beating five aces and losing to six aces. If you're saying to fold A7 suited here, how strong of a hand do I need to shove? Certainly AJ or Ace ten is strong enough to shove with here wouldn't you say?