Revealing mistake: The whole time during the president's escape from AF1 (the scene where he's fighting with his corrupt agent) you can see through the airplane door that there is a loop in the movement of the water. It moves for about a second, and then stops, etc., etc.
Revealing mistake: When the fax machine is supposed to be printing out the incoming fax its LCD display shows that it is actually copying a document. The film crew must have pressed the copy button to achieve the effect of a piece of paper coming out. (01:16:05)
Revealing mistake: When Harrison Ford is dangling by a rope as he's pulled into the rescue plane, you can clearly see the entire wing of the plane through his legs as they pass in front of it.
Answer: Earlier in the same scene, Oldman says to the VP, "I'm sure you can't wait for him (the President) to get back to making the decisions so you can stop sweating through that silk blouse of yours." As he makes his demands known, he asks her "How's your blouse?" in reference to her perspiration.
ChiChi