Lemma 100.44.3. A flat base change of a local complete intersection morphism is a local complete intersection morphism.

Proof. Omitted. Hint: Argue exactly as in Remark 100.16.4 (but only for flat $\mathcal{Y}' \to \mathcal{Y}$) using More on Morphisms of Spaces, Lemma 75.48.4. $\square$

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