Item 4 (018X) — The Clowder Project

Style	Class	Font	Theorem Environments
Style 1	`book`	Alegreya Sans	`tcbthm`
Style 2	`book`	Alegreya Sans	`amsthm`
Style 3	`book`	Arno*	`amsthm`
Style 4	`book`	Computer Modern	`amsthm`

2-Adjointness. We have 2-adjunctions
witnessed by isomorphisms of categories
\begin{align*} \mathsf{Fun}\webleft (\mathcal{C}\times \mathcal{D},\mathcal{E}\webright ) & \cong \mathsf{Fun}\webleft (\mathcal{D},\mathsf{Fun}\webleft (\mathcal{C},\mathcal{E}\webright )\webright ),\\ \mathsf{Fun}\webleft (\mathcal{C}\times \mathcal{D},\mathcal{E}\webright ) & \cong \mathsf{Fun}\webleft (\mathcal{C},\mathsf{Fun}\webleft (\mathcal{D},\mathcal{E}\webright )\webright ), \end{align*}

natural in $\mathcal{C},\mathcal{D},\mathcal{E}\in \text{Obj}\webleft (\mathsf{Cats}_{\mathsf{2}}\webright )$.

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