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The Stacks project

Lemma 101.36.7. An unramified morphism of algebraic stacks is locally quasi-finite.

Proof. This follows from Lemma 101.36.6 (characterizing unramified morphisms), Lemma 101.23.7 (characterizing locally quasi-finite morphisms), and Morphisms of Spaces, Lemma 67.38.7 (the corresponding result for algebraic spaces). $\square$

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