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...It has also been shown that if R on A is antisymmetric, R n R-1 ? {(a, a): a ? A}. Therefore, a relation R on a set A is antisymmetric if and only if R n R-1 ? {(a, a): a ? A}.
Given that A and B are sets, (A - B) n (B - A) = { }.
Let A and B be sets. Suppose, for the sake of contradict... (read more)