# Sigma-Algebra/Examples/Trivial Sigma-Algebra

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## Examples of $\sigma$-Algebra

Let $X$ be a set.

The **trivial $\sigma$-algebra** on $X$ is the $\sigma$-algebra defined as:

- $\set {\O, X}$

## Proof

This theorem requires a proof.In particular: Prove that this is in fact a $\sigma$-algebra, same way we prove other trivial entities are instances of what they areYou 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. |