▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Binary endorelation
Constancy relation
Formulation 0
Let $f : X \to Y$ be a D18: Map.
The constancy relation on $X$ with respect to $f$ is the D4: Binary relation \begin{equation} \{ (x, y) \in X \times X : f(x) = f(y) \} \end{equation}