# Closed convex implies separating hyperplanes

We prove that if a point

*c*is outside of a closed convex set*A*then there is a separating hyperplane with respect to*A*and*c*.## New Resources

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We prove that if a point *c* is outside of a closed convex set *A* then there is a separating hyperplane with respect to *A* and *c*.

Download our apps here: