Definition 65.22.6. 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 65.22.5 hold.

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