Lemma 74.11.12 (041V)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 74: Descent and Algebraic Spaces
Section 74.11: Descending properties of morphisms in the fpqc topology
Lemma 74.11.12 (cite)

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Lemma 74.11.12. The property $\mathcal{P}(f) =$ “ $f$ is of finite presentation” is fpqc local on the base.

Proof. Combine Lemmas 74.11.1, 74.11.2 and 74.11.10. $\square$

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