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Indigo5684
2025-09-30 13:19:29 -05:00
parent 74e0911bf8
commit 78c6ed9889
8 changed files with 29 additions and 29 deletions

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@@ -56,7 +56,7 @@
2. $|ab| = |a||b|$
3. $|a + b| \leq |a| + |b|$
**Collary**. Givem $a, b \in \mathbb{R}$, then $\abs{\abs{a} - \abs{b}} \leq \abs{a - b}$.
**Corollary**. Givem $a, b \in \mathbb{R}$, then $\abs{\abs{a} - \abs{b}} \leq \abs{a - b}$.
**Remark**. Every field has at least one absolute value function.
@@ -104,4 +104,4 @@ $$
**Theorem**. If $a < b$, then the interval $[a, b]$ is an uncountable set.
**Collary**. $\mathbb{R}$ is uncountable.
**Corollary**. $\mathbb{R}$ is uncountable.