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The Stacks project

Lemma 41.3.6. Let Y be a locally Noetherian scheme. Let f : X \to Y be locally of finite type. Let x \in X. The morphism f is unramified at x in the sense of Definition 41.3.5 if and only if it is unramified in the sense of Morphisms, Definition 29.35.1.

Proof. This follows from Lemma 41.3.2 and the definitions. \square


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