Question: If K1 and K2 are disjoint nonempty compact sets, show that there exist ki Ki such that 0 < |k1 - k2| = inf{x1

If K1 and K2 are disjoint nonempty compact sets, show that there exist ki ∈ Ki such that 0 < |k1 - k2| = inf{x1 - x2| : xi ∈ Ki}.

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