ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F7745 on D2221: Set of bijections
F7745
Formulation 1
Let $X$ and $Y$ each be a D11: Set.
The set of bijections from $X$ to $Y$ is the D11: Set \begin{equation} \text{Bij}(X \to Y) : = \{ f \mid f : X \to Y \text{ is a bijection} \} \end{equation}