The Stacks project

Lemma 67.28.3. A base change of a morphism of finite presentation is of finite presentation. The same holds for locally of finite presentation.

Proof. See Remark 67.22.4 and Morphisms, Lemma 29.21.4. Also use the result for quasi-compact and for quasi-separated morphisms (Lemmas 67.8.4 and 67.4.4). $\square$

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