👉 In mathematics, an antisymmetric relation is a binary relation that is symmetric in one sense but not necessarily symmetric in another. In other words, it is reflexive (always true for both elements) and antisymmetric (always false when compared to the identity relation). For example, let's say we have two relations R1 = {(1,2), (3,4)} and R2 = {(5,6)}. Then R1 is an antisymmetric relation since it is symmetric in the