Who goes first?

So, this has happened a couple times and im never quite sure what to do: im about to go into the ATM vestibule and a guy is also about to enter. As is polite, he holds the door for me, but then is it my right to go first to the ATM? after all, he would have been first had he not stopped to open the door for me... Should I stand aside and let him go first in recognition of his position of actually getting to the door before me, AND to recognize his gesture of kind etiquette?