Remark 59.29.2 (03PP)—The Stacks project

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Table of contents
Part 3: Topics in Scheme Theory
Chapter 59: Étale Cohomology
Section 59.29: Neighborhoods, stalks and points
Remark 59.29.2 (cite)

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Remark 59.29.2. Since $U$ and $U'$ are étale over $S$ , any $S$ -morphism between them is also étale, see Proposition 59.26.2. In particular all morphisms of étale neighborhoods are étale.

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