How to prove that the empty set is a subset of any set

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A short proof by contradiction that for any set S, the empty set is a subset of it.

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oh, I see. proof by contradiction. thanks~~

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Suppose the empty set is a subset of every set. This would mean every element in the empty set should be in any other set. But there are no elements in the empty set. So our assumption was wrong and empty set is not the subset of every set. Cant we prove the otherwise in the exact same way?

harshitrajput