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Add an internal reference to a proof
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aisejohan committed May 1, 2021
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3 changes: 2 additions & 1 deletion groupoids-quotients.tex
Expand Up @@ -389,7 +389,8 @@ \section{Categorical quotients}
\begin{proof}
Let $X_{red}$ be the reduction of the algebraic space $X$.
Since $U$ is reduced the morphism $\phi : U \to X$ factors through
$i : X_{red} \to X$ (insert future reference here). Denote this morphism
$i : X_{red} \to X$ (Properties of Spaces, Lemma
\ref{spaces-properties-lemma-map-into-reduction}). Denote this morphism
by $\phi_{red} : U \to X_{red}$. Since $\phi \circ s = \phi \circ t$ we
see that also $\phi_{red} \circ s = \phi_{red} \circ t$ (as
$i : X_{red} \to X$ is a monomorphism). Hence by the universal property
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