Lemma 88.20.3 (0AQN)—The Stacks project

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Part 5: Topics in Geometry
Chapter 88: Algebraization of Formal Spaces
Section 88.20: Rig-étale morphisms
Lemma 88.20.3 (cite)

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Lemma 88.20.3. A rig-étale morphism of locally Noetherian formal algebraic spaces is locally of finite type.

Proof. The property $P$ in Lemma 88.19.3 implies the equivalent conditions (a), (b), (c), and (d) in Formal Spaces, Lemma 87.29.6. Hence this follows from Formal Spaces, Lemma 87.29.9. $\square$

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