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18. Prove the infinite pigeonhole principle, that is, let S be an infinite set, n E Zt. Prove that no matter how the elements

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mfinite vnet amd home tottronad ntzt omd S ANe mte n ghen eah hont ,S,S sniain n m,s Us UUSn +Sn CrSi, S , Sn e dinjont neb +

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