ThmDex – An index of mathematical definitions, results, and conjectures.
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Definition D4782
Evaluation map
Formulation 0
Let $Y^X$ be a D68: Set of maps such that
(i) \begin{equation} X \neq \emptyset \end{equation}
The evaluation map on $Y^X$ with respect to $x \in X$ is the D18: Map \begin{equation} Y^X \mapsto Y, \quad f \mapsto f(x) \end{equation}