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Answer by Dirk for Show that exists $n\in \Bbb{N}$ such that $\langle A,R...

You assume that you have given a map $f$, and try to find properties for the relation. This won't work, you need to construct $f$. Try some examples first, maybe with $n = 2,3,4$. Then, you should...

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Show that exists $n\in \Bbb{N}$ such that $\langle A,R \rangle$ and $\langle...

Given $n\in \Bbb{N}$, we mark $\le_{n} = \{\langle a,b \rangle : a,b\in \Bbb{N}^{<n} \text{ and } a\le b \}$.Let be finite set $A$ and let $R$ be a total order on $A$. Show that exists $n\in...

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