Lemma 99.27.5. Let $f : \mathcal{X} \to \mathcal{Y}$ be a morphism of algebraic stacks.

If $\mathcal{Y}$ is locally Noetherian and $f$ locally of finite type then $f$ is locally of finite presentation.

If $\mathcal{Y}$ is locally Noetherian and $f$ of finite type and quasi-separated then $f$ is of finite presentation.

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