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Re:Toward an API for the Real Numbers by H8crilA on Wednesday October 07, 2020 @05:42AM (#24706619)
Equality is also needed if you want to know whether "x<y".

Proof: 1) suppose you can decide whether "x<y" for all x,y. 2) Then, for all x,y you can decide whether x==y because that's just "!(x<y) && !(y<x)"

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