Lemma 74.11.6 (041Q)—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 74.11.6 (cite)

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Lemma 74.11.6. The property $\mathcal{P}(f) =$ “ $f$ is surjective” is fpqc local on the base.

Proof. Omitted. (Hint: Use Properties of Spaces, Lemma 66.4.3.) $\square$

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