Lemma 71.15.1. The property $\mathcal{P}(f)=$“$f$ is locally of finite presentation” is fppf local on the source.

**Proof.**
Follows from Lemma 71.13.3 using Morphisms of Spaces, Definition 64.28.1 and Descent, Lemma 35.25.1.
$\square$

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