The wing cleverly throws a lot of air down and, as a result, wants to go up ...
Such a simple explanation!
I'ts always puzzled me why we always talk about the prop producing thrust by pushing the air back (Bernoulli never gets a mention) but when we get to the wing we tie ourselves up in knots with Bernoulli, circulation, coanda and other exotica.
Are they not both aerofoils? And does not the wing, like it's smaller rotating cousin, push lots of air down?