• Pseudofunctoriality. The assignment $\mathcal{C}\mapsto \mathsf{Sk}\webleft (\mathcal{C}\webright )$ defines a pseudofunctor
    \[ \mathsf{Sk}\colon \mathsf{Cats}_{\mathsf{2}}\to \mathsf{Cats}_{\mathsf{2}}. \]

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