Definition:Relation Segment

From ProofWiki
Jump to: navigation, search

Definition

Let $X$ be a set.

Let $R$ be a relation on $X$.

Let $x \in X$.


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

$x^R := \left\{ {y \in X: \left({y, x}\right) \in R}\right\}$


Sources