\begin{definition}[Definition:Saturation (Equivalence Relation)/Definition 1]
Let $\sim$ be an equivalence relation on a set $S$.
Let $T\subset S$ be a subset.
The '''saturation of $T$''' is the set of all elements that are equivalent to some element in $T$:
:$\overline T = \{s \in S : \exists t\in T : s\sim t\}$
Category:Definitions/Equivalence Relations
\end{definition}