Category of Finite Sets is Cartesian Closed

Theorem

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

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

Proof

This theorem requires a proof. In particular: will be tedious until some theorems on subcategories are available You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Sources

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