• Inclusions of Skeletons Are Equivalences. The inclusion
    \[ \iota _{\mathcal{C}}\colon \mathsf{Sk}\webleft (\mathcal{C}\webright )\hookrightarrow \mathcal{C} \]

    of a skeleton of $\mathcal{C}$ into $\mathcal{C}$ is an equivalence of categories.


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