## antisymmetric

(mathematics) A relation R is antisymmetric if,

for all x and y, x R y and y R x => x == y.I.e. no two different elements are mutually related.

Partial orders and total orders are antisymmetric. If R is also symmetric, i.e.

x R y => y R xthen

x R y => x == yI.e. different elements are not related.

Last updated: 1995-04-18

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