The Stacks project

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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