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