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}
▼ | Set of symbols |
▼ | Alphabet |
▼ | Deduction system |
▼ | Theory |
▼ | Zermelo-Fraenkel set theory |
▼ | Set |
▼ | Binary cartesian set product |
▼ | Binary relation |
▼ | Map |
▼ | Bijective map |
▶ | D16: Countable set |
▶ | D1523: Isomorphic sets |
▶ |
Convention 0
(Notation for set of bijections)
Let $X$ and $Y$ each be a D11: Set. We denote the D2221: Set of bijections from $X$ to $Y$ by $\text{Bij}(X \to Y)$.
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