Elements of Minimal Infinite Successor Set are Well-Ordered
Jump to navigation
Jump to search
This theorem requires a proof..
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
Theorem
Let $\omega$ be the minimal infinite successor set.
Let $a \in \omega$.
Then $a$ is well-ordered by $\subseteq$.
Proof
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
When this page/section has been completed, {{ProofWanted}} should be removed from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page (see the proofread template for usage).
Sources
- 1960: Paul R. Halmos: Naive Set Theory ... (previous) ... (next): $\S 17$: Well Ordering