Lemma 37.11.4 (02HH)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 37: More on Morphisms
Section 37.11: Formally smooth morphisms
Lemma 37.11.4 (cite)

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Lemma 37.11.4. Let $f : X \to S$ be a morphism of schemes. Then $f$ is formally étale if and only if $f$ is formally smooth and formally unramified.

Proof. Omitted. $\square$

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