Definition:Dense (Lattice Theory)/Element

Definition
Let $L = \struct {S, \wedge, \preceq}$ be a bounded below meet semilattice. Let $x \in S$.

Then $x$ is dense
 * $\forall y \in S: y \ne \bot \implies x \wedge y \ne \bot$

where $\bot$ denotes the smallest element in $L$.