A transformation[1] $\smash {\alpha \colon F\Rightarrow G}$ from $F$ to $G$ is a collection

\[ \webleft\{ \alpha _{A}\colon F\webleft (A\webright )\to G\webleft (A\webright )\webright\} _{A\in \text{Obj}\webleft (\mathcal{C}\webright )} \]

of morphisms of $\mathcal{D}$.


Footnotes

[1] Further Terminology: Also called an unnatural transformation for emphasis.

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