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112AdditionstoPermutationsTheorylemmapermutesimpbij0assumesppermutesSshowsbijphproofilemmapermutesEassumesppermutesSobtainsbijp8xx2Spxxhproofilemmabijimppermutes0assumesbijp8xx2Apxx

1.1.2AdditionstoPermutationsTheorylemmapermutes-imp-bij0:assumesppermutesSshowsbijphproofilemmapermutesE:assumesppermutesSobtainsbijp8x:x=2S!px=xhproofilemmabij-imp-permutes0:assumesbijp8x:x=2A!px=x

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