# Symbols:Set Theory/Proper Superset

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## Proper Superset

- $\supsetneq$ or $\supsetneqq$

$S \supsetneq T$ and $S \subsetneqq T$ both mean:

- $S$ is a proper superset of $T$

In other words, $S \supseteq T$ and $S \ne T$.

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

.

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

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## Deprecated

$\supset$ 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.