\begin{definition}[Definition:Dominate (Set Theory)/Strictly Dominate]
Let $S, T$ be sets.
'''$S$ is strictly dominated by set $T$''' {{iff}} $S \preccurlyeq T$ but $\neg T \preccurlyeq S$.
This can be written $S \prec T$ or $S < T$.
Category:Definitions/Set Theory
\end{definition}