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2Notethatthecardinalityofa nitesetiswellde nedThisisbecauseiffInSandgImSarebothbijectivetheng1fInImisbijectivesothatmnbyCorollary2Theorem4AnysubsetofImisa nitesetMoregenerallyanysubse

2Notethatthecardinalityofa nitesetiswell-de ned.Thisisbecauseiff:In!Sandg:Im!Sarebothbijective theng1f:In!Imisbijective sothatm=nbyCorollary2.Theorem4.AnysubsetofImisa niteset.Moregenerally anysubse

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