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Claim0is nitelysatis ableProofConsidera nitesubsetofXof0SinceXis niteandkk1forallk2Nthereexistsa nitej2NsuchthatXSji0ijSincejis nitelysatis ablethereforeXissatis able Nowbytheco

Claim:0is nitelysatis able.Proof:Considera nitesubsetofXof0.SinceXis nite andkk+1forallk2N thereexistsa nitej2N suchthatXSji=0i=j.Sincejis nitelysatis able thereforeXissatis able. Now bytheco

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