Lemma 76.19.4 (061G)—The Stacks project

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Part 4: Algebraic Spaces
Chapter 76: More on Morphisms of Spaces
Section 76.19: Formally smooth morphisms
Lemma 76.19.4 (cite)

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Lemma 76.19.4. 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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