definition of a properset
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proper subset of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in A but A contains at least one element that is not in B. The set D={1,4} is not even a subset of A, since 4 is not an element of
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A properset is a subset of a set that is not equal to the original set
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