It depends on the set T.
A mapping, f, from set S to set T is said to be surjective if for every element in set T, there is some element in S such that it maps on to the element in T. Thus, if t is any element of T, there must be some element, s, in S such that f(s) = t.
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A set S is a proper subset of a set T if each element of S is also in T and there is at least one element in T that is not in S.
A set is not an operation.
A null set.
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It is a relationship from one set (S) to another (T) - which need not be a different set such that for every element in S there is a unique element in T.