The wings are big and have different conditions on their top and bottom. The bottom, through design of wing shape, wing angle and plane speed, experiences more aerodynamic force upward than the top produces down (in both cases an aerodynamic force from air pressure is pushing against the surface). This means there is lift.
Specifically, the top surface has higher curvature when shape, angle and speed are combined. The curvature of air causes an increase in speed and a corresponding decrease in air pressure, to conserve momentum. The change in air pressure results in change in force experienced by the wing surface.
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