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diff --git a/library/relation/equivalence.tex b/library/relation/equivalence.tex
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\begin{proof}
Take $a\in A$ such that $C = \equivalenceClass{E}{a}$.
Then $a\in \equivalenceClass{E}{a}$.
- $C$ is inhabited by \cref{quotient,inhabited,equivclasses_inhabited}.
+ $C$ is inhabited by \cref{quotient,equivclasses_inhabited}.
\end{proof}
\begin{proposition}\label{quotient_elems_type}