Interior of Convex Set is Convex
# Definition
Let $V$ be a Topological Vector Space over $\mathbb{R}$ and let $S \subset V$ be a Convex Set. Then $\text{int} S$ is a Convex Set.
# Proof
TODO - see Stackexchange - Interior of a convex set is convex
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Let $V$ be a Topological Vector Space over $\mathbb{R}$ and let $S \subset V$ be a Convex Set. Then $\text{int} S$ is a Convex Set.
TODO - see Stackexchange - Interior of a convex set is convex