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Trance-0
2025-10-27 11:56:32 -05:00
parent 0d93eb43d3
commit fb1ffcd040
17 changed files with 219 additions and 134 deletions

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@@ -24,7 +24,8 @@ $\equiv\cancel{\exist} p\in \mathbb{Q}, p^2=2$
$\equiv p\in \mathbb{Q},p^2\neq 2$
#### Proof
<details>
<summary>Proof</summary>
Suppose for contradiction, $\exist p\in \mathbb{Q}$ such that $p^2=\mathbb{Q}$.
@@ -36,7 +37,7 @@ So $m^2$ is divisible by 4, $2n^2$ is divisible by 4.
So $n^2$ is even. but they are not both even.
QED
</details>
### Theorem (No closest rational for a irrational number)