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I needed help in trying to draw a poset such that $|\mu(x,y)| \gt 1$ for some pair of elements and, If we let $I$ be the linear poset on $2$ elements, how can we describe $\mu$ for the $k$-fold product poset $I^k$. And how to describe $\mu$ for the poset defined on the first $n$ numbers $\{1,\dots,n\}$ by the division relation.

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