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反対称関係
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1. Antisymmetric relation​In mathematics, a binary relation R on a set X is antisymmetric if, for all a and b in X if R(a,b) and R(b,a), then a = b, or, equivalently, if R(a,b) with a ≠ b, then R(b,a) must not hold. In mathematical notation, this is: or, equivalently, The usual order relation ≤ on the real numbers is antisymmetric: if for two real numbers x and y both inequalities x ≤ y and y ≤ x hold then x and y must be equal.
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