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PDF-wecanassigntoeverypointa2S 2OnX( )rX( +1)somebasicclopensetOawhichisol PDF document

ProofForeverytwontuplesabinMeitheraandbhavethesameitypeforalli1orthereisasmallestordinal ab1forwhichtheyhavedi erent abtypeLet bethesupremumofall abforallntuplesabinMforallnThen 1a

Proof:Foreverytwon-tuplesa;binM eitheraandbhavethesamei-typeforalli!1orthereisasmallestordinal a;b!1forwhichtheyhavedi erent a;b-type.Let bethesupremumofall a;bforalln-tuplesa;binM foralln!.Then !1a

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