ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F7850 on D288: Transitive binary relation
F7850
Formulation 1
A D4424: Binary endorelation $B = (X \times Y, R)$ is transitive if and only if \begin{equation} \forall \, x, y, z \in X \left( x R y, y R z \quad \implies \quad x R z \right) \end{equation}