Definition:Symmetric Relation/Class Theory

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Definition

Let $V$ be a basic universe.

Let $\RR \subseteq V \times V$ be a relation in $V$.


$\RR$ is symmetric if and only if:

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


Also see

  • Results about symmetric relations can be found here.


Sources