Lemma 73.11.29. The property $\mathcal{P}(f) =$“$f$ is finite locally free” is fpqc local on the base.

**Proof.**
Being finite locally free is equivalent to being finite, flat and locally of finite presentation (Morphisms of Spaces, Lemma 66.46.6). Hence this follows from Lemmas 73.11.23, 73.11.13, and 73.11.10.
$\square$

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