Lemma 88.12.3 (0GC4)—The Stacks project

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Part 5: Topics in Geometry
Chapter 88: Algebraization of Formal Spaces
Section 88.12: Finite type on reductions
Lemma 88.12.3 (cite)

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Lemma 88.12.3. Consider the property $P$ on arrows of $\textit{WAdm}^{count}$ defined in Lemma 88.12.1. Then $P$ is stable under composition (Formal Spaces, Situation 87.21.11).

Proof. Omitted. Hint: compositions of finite type ring maps are of finite type. $\square$

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