Why is $(\Bbb Z,\le)$ not a complete lattice ? Where $\Bbb Z$ is the normal integer group.
2026-03-29 18:13:16.1774807996
Discrete Mathematics Lattice Theory
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For a complete lattice, every subset must have a least element and a greatest element. See for instance https://en.wikipedia.org/wiki/Complete_lattice for the definition.
However $\mathbb{Z}$ as a subset of itself doesn't satisfy this requirement with the $\le$ ordering.