Definition:Lattice (Order Theory)/Also denoted as

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Lattice in the context of Order Theory: Also denoted as

In the particular context of order theory, it is common to omit $\vee$ and $\wedge$ in the notation for a lattice.

That is, one then writes $\struct {S, \preceq}$ in place of $\struct {S, \vee, \wedge, \preceq}$.