Symbols:Set Theory/Subset
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Subset
- $\subseteq$
$S \subseteq T$ means $S$ is a subset of $T$.
In other words, every element of $S$ is also an element of $T$.
Note that this symbol allows the possibility that $S = T$.
The $\LaTeX$ code for \(\subseteq\) is \subseteq
.
Deprecated Symbols
Subset
$\subset$ is sometimes used to mean:
- $S$ is a subset of $T$
in the sense that $S$ is permitted to equal $T$.
That is, for which we have specified as $S \subseteq T$.
Although many sources use this interpretation, it is emphatically not recommended, as it can be the cause of considerable confusion.
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Appendix $14$: Symbols