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@@ -19,9 +19,7 @@
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U_J = \bigcup_{j \in J}E_j^c
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\]
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then $U_J \subset X$ is open. For any $J, J' \subset I$, $U_J \cup U_{J'} = U_{J \cup J'}$.
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Suppose for contradiction that $\bigcap_{i \in I}E_i = \emptyset$, then
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then $U_J \subset X$ is open. Suppose for contradiction that $\bigcap_{i \in I}E_i = \emptyset$, then
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\[
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\mathbf{U} = \bracs{U_J|J \subset I \text{ finite}}
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\]
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