I was trying to prove; for all real Nos But it seems difficult Is it realy difficult??

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Originally Posted by psolaki I was trying to prove; for all real Nos But it seems difficult Is it realy difficult?? $\begin{align*} &\forall x \in \mathbb{R}~~(x=x)=TRUE \Rightarrow \\ &(x < x) = FALSE \Rightarrow \\ &\neg(x<x) = TRUE\end{align*}$ maybe I'm naively missing something but the equality relation is reflexive for real numbers.

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