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I think sending around multiple copies of a work to people who really have absolutely no use for it for the simple reason of having those people try to find out if the student cheated doesn't fit within "teaching",
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<p>Interesting. Fair use does not apply only to teaching. What about fact-checkers? I presume that one of their tasks is to find out whether a piece is accurate and is the actual work of the author? I don't know whether is makes any difference if the recipients "have absolutely no use for it."</p>