Lemma 76.14.6 (04G9)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 76: More on Morphisms of Spaces
Section 76.14: Formally unramified morphisms
Lemma 76.14.6 (cite)

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Lemma 76.14.6. Let $S$ be a scheme. Let $f : X \to Y$ be a morphism of algebraic spaces over $S$ . The following are equivalent:

$f$ is formally unramified, and
$\Omega _{X/Y} = 0$ .

Proof. This is a combination of Lemma 76.14.2, More on Morphisms, Lemma 37.6.7, and Lemma 76.7.3. $\square$

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