An empty set is not a proper subset of an empty set.

An empty set is not a proper subset of an empty set.

An empty set is not a proper subset of an empty set.

An empty set is not a proper subset of an empty set.

Yes it is. Everything in the empty set (which is nothing of course) is also in the empty set. If it's not in the empty set, it's not in the empty set. The empty set has no propersubsets, though, or subsets that are different from it.

Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.

The empty set is the set that contains no elements. (It is the empty set, not an empty set, because there is only one of them. It is a unique mathematical object.)

difinition of empty set