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2. The set F is a subset of set A if all elements of F are also elements of F. are also elements of A. for example, the even numbers 2, 4, and 12 all belond to the set of whole number. F is a proper subset of A. if F. does not contain all elements of A. the even numbers 2, 4 and 12 all belong to the set of whole numbers. Therefore, the even numbers 2, 4, and 12 form a subset of the set of whole numbers. F is a proper subset of A if F does not contain all elements of A.​