Lemma 74.11.19 (0422)—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 74.11.19 (cite)

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Lemma 74.11.19. The property $\mathcal{P}(f) =$“$f$ is proper” is fpqc local on the base.

Proof. The lemma follows by combining Lemmas 74.11.3, 74.11.18 and 74.11.11. $\square$

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