Category:Definitions/Antisymmetric Relations

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This category contains definitions related to Antisymmetric Relations.
Related results can be found in Category:Antisymmetric Relations.


$\RR$ is antisymmetric if and only if:

$\tuple {x, y} \in \RR \land \tuple {y, x} \in \RR \implies x = y$

that is:

$\set {\tuple {x, y}, \tuple {y, x} } \subseteq \RR \implies x = y$