Strictly Increasing Infinite Sequence of Integers is Cofinal in Natural Numbers
Jump to navigation
Jump to search
It has been suggested that this page be renamed. In particular: Exposition of proof does not seem to match title. To discuss this page in more detail, feel free to use the talk page. |
Theorem
Let $S = \left\langle{x_n}\right\rangle$ be an infinite sequence of integers which is strictly increasing.
Then $S$ is a cofinal subset of $\left({\Z, \le}\right)$ where $\le$ is the usual ordering on the integers.
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. |