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PDF-Whatweneedisawaytothinkofpermutationsaseither\even"or\odd."Inotherword PDF document

LemmaForanytwoelements2SnfffnotreallyaProofYoucanifyoulikesimplycheckthefourpossiblecasesforfandfForexamplesupposef1andf1ThenapplyingtoP rstchangesittoPAppl

Lemma:Foranytwoelements;2Sn f()=f()f():(notreallya)Proof:Youcan ifyoulike simplycheckthefourpossiblecasesforf()andf().Forexample supposef()=1andf()=1.ThenapplyingtoP rstchangesittoP.Appl

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