The Stacks project

Definition 67.22.6. Let $\mathcal{Q}$ be a property of morphisms of germs of schemes which is étale local on the source-and-target. Let $S$ be a scheme. Given a morphism $f : X \to Y$ of algebraic spaces over $S$ and a point $x \in |X|$ we say that $f$ has property $\mathcal{Q}$ at $x$ if the equivalent conditions of Lemma 67.22.5 hold.

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