Lemma 35.23.13 (02L0)—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 35.23.13 (cite)

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Lemma 35.23.13. The property $\mathcal{P}(f) =$“$f$ is of finite presentation” is fpqc local on the base.

Proof. Combine Lemmas 35.23.1, 35.23.2 and 35.23.11. $\square$

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