The Stacks project

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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