Let $G$ be a locally compact topological group. If $V$ is a symmetric, relatively compact open neighborhood of $1$, why is it true that $\overline{V}^n \subseteq V \cdot V^n$ for every $n \in \Bbb{N}$?
2026-03-25 19:05:06.1774465506
Symmetric, Relatively Compact Open Neighborhoods of $1$
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