Question: et C Rn be a nonempty closed convex set and a Rn a point outside of C. Suppose x0 C is the projection of a

et C Rn be a nonempty closed convex set and a Rn a point outside of C. Suppose x0 C is the projection of a onto C, that is |x0 a| |x a| for all x C. Prove that x0 is uniquection of a onto C, that is |x0 a| |x a| for all x C. Prove that x0 is unique

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