ProofWithExplanation.Wedeneasequenceofsetswhicharesupposedtomimicoure - PDF document

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Uploaded On 2017-11-23

ProofWithExplanation.Wedeneasequenceofsetswhicharesupposedtomimicoure - PPT Presentation

ProofAsOneWouldWriteItLetfABandgBAbeinjectionsLetA0AandB0BandbyinductionwedeneAi1gBiandBi1fAiLetA0Ti2NAiandB0Ti2NBiThendenehxfxifx2A0Si2NA2inA2i1g1xotherwiseWeclai ID: 607778

ProofAsOneWouldWriteIt.Letf:A!Bandg:B!Abeinjections.LetA0=AandB0=BandbyinductionwedeneAi+1=g[Bi]andBi+1=f[Ai].LetA0=Ti2NAiandB0=Ti2NBi.Then dene:h(x)=f(x)ifx2A0[Si2N(A2inA2i+1)g1(x)otherwiseWeclai

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