Symbols:Set Theory/Set Intersection/Set of Sets

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Intersection of Set of Sets

$\bigcap$


Let $\Bbb S$ be a set of sets.

The intersection of $\Bbb S$ is:

$\bigcap \Bbb S := \set {x: \forall S \in \Bbb S: x \in S}$

That is, the set of all objects that are elements of all the elements of $\Bbb S$.


Thus:

$\bigcap \set {S, T} := S \cap T$


The $\LaTeX$ code for \(\bigcap\) is \bigcap .


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