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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 x


then

	 x R y  =>  x == y


I.e. different elements are not related.

(1995-04-18)


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