# Symbols:Set Theory/Superset

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## Superset

- $\supseteq$

$S \supseteq T$ means $S$ is a superset of $T$, or equivalently, $T$ is a subset of $S$.

Thus every element of $T$ is also an element of $S$.

Note that this symbol allows the possibility that $S = T$.

The $\LaTeX$ code for \(\supseteq\) is `\supseteq`

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## Deprecated Symbols

### Superset

$\supset$ is sometimes used to mean:

- $S$ is a superset of $T$

in the sense that $S$ is permitted to equal $T$.

That is, for which we have specified as $S \supseteq T$.

Although many sources use this interpretation, it is **emphatically not recommended**, as it can be the cause of considerable confusion.