Definition:Dominate (Set Theory)
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Let $S$ and $T$ 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 $S < T$.
Also denoted as
Alternatives for $S \preccurlyeq T$ include:
- $S \le T$
- $S \leqslant T$