Existence of Choice Function for Family of Non-Empty Sets of Natural Numbers

Theorem

Let $\FF$ be a family of non-empty sets of natural numbers.

Then there exists a choice function for $\FF$.

Proof

This theorem requires a proof. In particular: Not clear what axiom we are expected to use to start this. 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

• 1973: Thomas J. Jech: The Axiom of Choice ... (previous) ... (next): $1.$ Introduction: $1.4$ Problems: $2$