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## Homework Statement

Prove that a point,a, not belonging to the closed set B has a non-zero distance from B. I.e that dist(a,B)=inf(y in a) ||a-y||>0

## Homework Equations

I have no idea how to start this. It is only worth a few marks and I have been told it is fairly easy but I have always struggled with proofs.

## The Attempt at a Solution

Would I use contradiction somehow?