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@ -71,7 +71,7 @@ so is $f(\cB)$.
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\end{fact}
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\begin{proof}
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Consider $(f,g)^{-1}(\Delta) \supseteq A$.
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The RHS is a dense closed set, i.e.~the entire space.
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The LHS is a dense closed set, i.e.~the entire space.
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\end{proof}
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We can uniquely extend a continuous $f\colon X \to Y$
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