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PDF-(ifitexists)mustbeirrational.(2.11)Supposex�0;y�0,andLxy.Showthatthere

PDF-(ifitexists)mustbeirrational.(2.11)Supposex0;y0,andLxy.Showthatthere

ny1 nWewillprovethisusingachainofifandonlyifstatementsObservethatLx1 ny1 nLxyx ny n1 n2Lxy1 nxy1 nLxy1 nxy1 nxyL1 nxy1 nSincethisisastringofifandonlyifstatements

n(y1 n):Wewillprovethisusingachainofifandonlyifstatements.ObservethatLx1 n(y1 n)$Lxyx ny n+1 n2$Lxy1 nx+y1 n$Lxy1 nx+y1 n$xyL1 nx+y1 n:Sincethisisastringofifandonlyifstatements

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(ifitexists)mustbeirrational.(2.11)Supposex0;y0,andLxy.Showthatthere: Transcript

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