Lemma 35.23.22. 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, Lemma 29.44.7. Hence the lemma follows on combining Lemmas 35.23.3 and 35.23.18.
$\square$

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