ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F9000 on D4423: Relation class
F9000
Formulation 1
Let $B = (X \times Y, R)$ be a D4: Binary relation such that
(i) $X \neq \emptyset$
The relation class of $x \in X$ in $B$ is the D11: Set \begin{equation} R(x) : = \{ y : (x, y) \in R \} \end{equation}