# Definition:Bounded Lattice/Definition 1

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## Definition

Let $\struct {S, \preceq}$ be an ordered set.

Let $S$ admit all finite suprema and finite infima.

Let $\vee$ and $\wedge$ be the join and meet operations on $S$, respectively.

Then the ordered structure $\struct {S, \vee, \wedge, \preceq}$ is a **bounded lattice**.

## Also see

- Results about
**bounded lattices**can be found**here**.

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