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antisymmetric

/ˌæntiːsɪˈmɛtrɪk/ /ˌæntaɪsɪˈmɛtrɪk/
Visual illustration of antisymmetric: (of a binary relation R on a set S) Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.
adjective

(of a binary relation R on a set S) Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.