Lemma 65.28.2. The composition of morphisms of finite presentation is of finite presentation. The same holds for locally of finite presentation.

**Proof.**
See Remark 65.22.3 and Morphisms, Lemma 29.21.3. Also use the result for quasi-compact and for quasi-separated morphisms (Lemmas 65.8.5 and 65.4.8).
$\square$

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