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The Stacks project

Lemma 66.3.2. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. We have the following implications among the separation axioms of Definition 66.3.1:

  1. separated implies all the others,

  2. quasi-separated implies Zariski locally quasi-separated.

Proof. Omitted. $\square$

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