How to identify if a given Hasse diagram is a lattice?
2026-02-22 19:32:08.1771788728
How to identify if a given Hasse diagram is a lattice
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For a partial order to be a lattice, it needs a join (a minimal upper bound) for any two of its elements. In your diagram, $2,3$ don't have an upper bound at all -- hence this is not a lattice.