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diff --git a/library/function.tex b/library/function.tex
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--- a/library/function.tex
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@@ -465,7 +465,7 @@
Then $f(x) = \emptyset$.
\end{proposition}
\begin{proof}
- $\img{f}{\{x\}} = \emptyset$ by \cref{setext,notin_emptyset,img_singleton_iff,dom_intro}.
+ $\img{f}{\{x\}} = \emptyset$ by \cref{setext,emptyset,img_singleton_iff,dom_intro}.
Follows by \cref{apply,unions_emptyset}.
\end{proof}