The Stacks project

Lemma 67.48.10. Let $S$ be a scheme. Let $f : Y \to X$ be an integral morphism of algebraic spaces over $S$. Then the integral closure of $X$ in $Y$ is equal to $Y$.

Proof. By Lemma 67.45.7 this is a special case of Lemma 67.48.9. $\square$

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