Without going into the excellent and detailed mechanics explaining reaction lift that others have provided for this answer, I just want to say that contrary to popular belief/high school physics textbooks, airplanes do not fly solely on account of Bernoulli's principle. According to Walter Lewin's excellent "For the Love of Physics":
"Bernoulli's principle accounts for 20% of an airplane's lift, the rest is provided by reaction lift."
Walter Lewin also poses an insightful question if planes really fly due to the equal transit theory and Bernoulli's principle (they do not!). ![enter image description here][1]
"...then how do planes fly upside down?" [1]: https://i.sstatic.net/M7cLH.gif