Lemma 35.23.12 (02KZ)—The Stacks project

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Part 2: Schemes
Chapter 35: Descent
Section 35.23: Properties of morphisms local in the fpqc topology on the target
Lemma 35.23.12 (cite)

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Lemma 35.23.12. The property $\mathcal{P}(f) =$“$f$ is of finite type” is fpqc local on the base.

Proof. Combine Lemmas 35.23.1 and 35.23.10. $\square$

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