That's part of it but it's also incorrect to say "the air above moves faster than the air below, and the wing rises." The air speed is not necessarily differen

That's part of it but it's also incorrect to say "the air above moves faster than the air below, and the wing rises." The air speed is not necessarily different. Lift is generated because air is deflected from moving over the top of the wing and thus reduces the air pressure. You can create flat winged aircraft with careful orientation of the wings. Air flow is not like say a spinning disk, where the solid state of the matter forces the outer edge of the disk to move faster in order to maintain relative position.