Other mistake: When Frau shoots the gun out of Austin's hand, she fires from behind his back. She would not be able to do this unless she shot through him. She also would not be able to see his gun from behind him as he was holding it at waist level. One of those new boomerang bullets?
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Continuity mistake: Frau never got into Dr. Evil's rocket, but she's somehow on the moon base.
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Suggested correction: Frau probably used the time machine from the Seattle Space Needle in 1999 to get to the moon base in 1969, since there is a time machine on the moon base as well.
