The Stacks project

Lemma 35.23.25. The property $\mathcal{P}(f) =$“$f$ is locally of finite type of relative dimension $d$” is fpqc local on the base.

Proof. This follows immediately from the fact that being locally of finite type is fpqc local on the base and Morphisms, Lemma 29.28.3. $\square$

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