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If A1[itex]\supseteq[/itex]A2[itex]\supseteq[/itex]A3[itex]\supseteq[/itex]...are all sets containing an infinite number of elements, then the intersection of those sets is infinite as well.

I think I found a counterexample but I'm not sure the correct notation. I to have sets {n, n+1, n+2,...} from n to infinity (so {1, 2, 3,...}[itex]\supseteq[/itex]{2,3,4,...}) and the intersection of those sets is obviously null. How do I write this out? Thanks!

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# Intersection of sets with infinite number of elements

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