# Category of Finite Sets is Cartesian Closed

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## Theorem

Let $\mathbf{Finset}$ be the category of finite sets.

Then $\mathbf{Finset}$ is Cartesian closed.

## Proof

## Sources

- 2010: Steve Awodey:
*Category Theory*(2nd ed.) ... (previous) ... (next): $\S 6.2$: Example $6.3$