ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F3752 on D466: Surjective map
F3752
Formulation 1
A D18: Map $f : X \to Y$ is surjective if and only if \begin{equation} \forall \, y \in Y : \exists \, x \in X : f(x) = y \end{equation}