Lemma 76.44.3. Let $S$ be a scheme. Let $i : Z \to X$ be an immersion of algebraic spaces over $S$. We have the following implications: $i$ is Koszul-regular $\Rightarrow $ $i$ is $H_1$-regular $\Rightarrow $ $i$ is quasi-regular.
Proof. Via the definition this lemma immediately reduces to Divisors, Lemma 31.21.2. $\square$
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