ThmDex – An index of mathematical definitions, results, and conjectures.
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Deduction system
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Zermelo-Fraenkel set theory
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Binary cartesian set product
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Cartesian product
Definition D68
Set of maps
Formulation 0
Let $X$ and $Y$ each be a D11: Set.
The set of maps from $X$ to $Y$ is the D11: Set \begin{equation} Y^X : = \prod_{x \in X} Y = \{ f \mid f : X \to Y \} \end{equation}
Children
D4782: Evaluation map