Szpilrajn Extension Theorem
Jump to navigation
Jump to search
Theorem
Let $\struct {S, \prec}$ be a strictly ordered set.
The term Definition:Strictly Ordered Set as used here has been identified as being ambiguous. If you are familiar with this area of mathematics, you may be able to help improve $\mathsf{Pr} \infty \mathsf{fWiki}$ by determining the precise term which is to be used. 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 {{Disambiguate}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Then there is a strict total ordering on $S$ of which $\prec$ is a subset.
Proof
This theorem requires a proof. 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. |
Source of Name
This entry was named for Edward Szpilrajn.