Category:Examples of Lattices (Order Theory)
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This category contains examples of Lattice (Order Theory)/Definition 1.
Let $\struct {S, \preceq}$ be an ordered set.
Suppose that $S$ admits all finite non-empty suprema and finite non-empty infima.
Denote with $\vee$ and $\wedge$ the join and meet operations on $S$, respectively.
Then the ordered structure $\struct {S, \vee, \wedge, \preceq}$ is called a lattice.
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