Proposition 8.9.2.1.2 (0196): Properties of the Category $\mathsf{Cats}$

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Let $\mathcal{C}$ be a category.

Co/Completeness. The category $\mathsf{Cats}$ is complete and cocomplete.
Cartesian Monoidal Structure. The quadruple $\webleft (\mathsf{Cats},\times ,\mathsf{pt},\mathsf{Fun}\webright )$ is a Cartesian closed monoidal category.

Proof of Proposition 8.9.2.1.2.

Item 1: Co/Completeness

Omitted.

Item 2: Cartesian Monoidal Structure

Omitted.

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