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EinsteinKreuz
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Attached is a proof that $$ lim \inf \subset lim \sup $$ for an infinite sequence of non-empty sets. The basic idea is to use the axiom of choice/well ordering theorem to show that 1) there is something in the limit superior 2) there is something in the limit superior that is not in the limit inferior and 3) anything in the limit inferior is also in the limit superior. How does this one look? Is it correct? Feedback appreciated.
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