The Stacks project

Lemma 74.11.22. The property $\mathcal{P}(f) =$“$f$ is integral” is fpqc local on the base.

Proof. An integral morphism is the same thing as an affine, universally closed morphism. See Morphisms of Spaces, Lemma 67.45.7. Hence the lemma follows on combining Lemmas 74.11.3 and 74.11.16. $\square$

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