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@@ -77,4 +77,4 @@ Choose $p,q\in \mathbb{Q}$ such that $c<p<f(x_0)<q<d$.
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By our construction, $x_0\in \overline{U_q}-U_p$, and $f(\overline{U_q}-U_p)\subseteq [p,q]\subset (c,d)$.
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</details>
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</details>
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