Definition:Lattice (Ordered Set)

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Definition

Let $\left({S, \preceq}\right)$ be an ordered set.

Then $\left({S, \preceq}\right)$ is a lattice if and only if:

for all $x, y \in S$, the subset $\left\{{x, y}\right\}$ admits both a supremum and an infimum.


Also see


Sources