So, I'm looking at partially ordered sets and lattices and I can find a ton of examples of sets that are lattices, but I cannot find any examples of a partially ordered set that is NOT a lattice. What would be an example of a partially ordered set that is not a lattice?
2026-04-02 01:04:50.1775091890
Partially Ordered Set that is NOT a lattice?
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For a trivial example, take a two-element set $\{a,b\}$ with $a\not\le b$ and $b\not\le a$.