eli5 Why is the empty set a subset of any set?

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eli5 Why is the empty set a subset of any set?

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Anonymous 0 Comments

A is a subset of B if every element in A is also an element in B. It’s vacuously true that every element in the empty set is also an element in every set.

Put another way, A is **not** a subset of B if there’s an element in A which is not in B. Given some arbitrary set, can you show me at least one element that’s in the empty set but not in this set?

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