\begin{definition}[Definition:Saturated Set (Equivalence Relation)/Definition 2]
Let $\sim$ be an equivalence relation on a set $S$.
Let $T\subset S$ be a subset.
$T$ is '''saturated''' {{iff}} it is a union of equivalence classes:
:$\ds \exists U \subset S : T = \bigcup_{u \mathop \in U} \eqclass u {}$
Category:Definitions/Equivalence Relations
\end{definition}