Lemma 75.16.7. An unramified flat morphism is formally étale.

**Proof.**
Follows from the case of schemes, see More on Morphisms, Lemma 37.8.7 and étale localization, see Lemmas 75.14.2 and 75.16.2 and Morphisms of Spaces, Lemma 66.30.5.
$\square$

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