Definition:Euclidean Relation/Left-Euclidean

Definition
Let $\mathcal R \subseteq S \times S$ be a relation in $S$.

$\mathcal R$ is left-Euclidean :


 * $\left({x, z}\right) \in \mathcal R \land \left({y, z}\right) \in \mathcal R \implies \left({x, y}\right) \in \mathcal R$