Definition:Relation Segment

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Definition

Let $X$ be a set.

Let $\RR$ be a relation on $X$.

Let $x \in X$.


Then the $\RR$-segment of $x$, denoted by $x^\RR$, is defined by:

$x^\RR := \set {y \in X: \tuple {y, x} \in \RR}$


Sources