Lemma 10.54.3 (0AUF)—The Stacks project

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Part 1: Preliminaries
Chapter 10: Commutative Algebra
Section 10.54: Homomorphisms essentially of finite type
Lemma 10.54.3 (cite)

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Lemma 10.54.3. The class of ring maps which are essentially of finite type is preserved by base change. Similarly for essentially of finite presentation.

Proof. Omitted. $\square$

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