Foundations of MathematicsSet Theory |
What is a subset and proper subset in set theory? |
Simply put, a subset is a portion of a set. If set B is a subset of set A, then all elements of set B are also elements in set A. If A and B are equal, then both sets are subsets of themselves; the empty set is also considered a subset of every other set. A proper subset is a subset other than the set itself.