Lemma 101.44.3 (0CJ5)—The Stacks project

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Part 7: Algebraic Stacks
Chapter 101: Morphisms of Algebraic Stacks
Section 101.44: Local complete intersection morphisms
Lemma 101.44.3 (cite)

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Lemma 101.44.3. A flat base change of a local complete intersection morphism is a local complete intersection morphism.

Proof. Omitted. Hint: Argue exactly as in Remark 101.16.4 (but only for flat $\mathcal{Y}' \to \mathcal{Y}$) using More on Morphisms of Spaces, Lemma 76.48.4. $\square$

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