====== Intersection Of Subgroups Is A Subgroup ======
====Theorem==== 
If $G$ is a [[definition:group]], then the intersection of any collection of [[definition:subgroup|subgroups]] of $G$ is also [[definition:subgroup]].


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==== Remarks ==== 
  * None.


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==== $\LaTeX$ version ====
<file tex theorem.intersection_of_subgroups_is_a_subgroup.tex>
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\begin{theorem}
If $G$ is a group, then the intersection of any collection of subgroups of $G$ is also subgroup.
\end{theorem}
</file>

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==== External links ====
  * None.

{{tag>theorem needsreview rjosh rben ben}}