Lemma 101.27.4 (06Q5)—The Stacks project

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Table of contents
Part 7: Algebraic Stacks
Chapter 101: Morphisms of Algebraic Stacks
Section 101.27: Morphisms of finite presentation
Lemma 101.27.4 (cite)

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Lemma 101.27.4. A morphism which is locally of finite presentation is locally of finite type. A morphism of finite presentation is of finite type.

Proof. Combine Remark 101.16.5 with Morphisms of Spaces, Lemma 67.28.5. $\square$

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