format updates

This commit is contained in:
Zheyuan Wu
2025-09-24 01:27:46 -05:00
parent e59ef423f3
commit 143d77e7f9
16 changed files with 401 additions and 79 deletions

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@@ -44,11 +44,12 @@ The outer content of $SVC(n)$ is $\frac{n-3}{n-2}$.
If $S\subseteq T$, then $c_e(S)\leq c_e(T)$.
Proof:
<details>
<summary>Proof of Monotonicity of outer content</summary>
If $C$ is cover of $T$, then $S\subseteq T\subseteq C$, so $C$ is a cover of $S$. Since $c_e(s)$ takes the inf over a larger set that $c_e(T)$, $c_e(S) \leq c_e(T)$.
QED
</details>
#### Theorem Osgood's Lemma