Lemma 72.15.2. The property $\mathcal{P}(f)=$“$f$ is locally of finite type” is fppf local on the source.

**Proof.**
Follows from Lemma 72.13.3 using Morphisms of Spaces, Definition 65.23.1 and Descent, Lemma 35.25.2.
$\square$

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