Lemma 37.59.6. A flat base change of a local complete intersection morphism is a local complete intersection morphism.

**Proof.**
Omitted. Hint: This is true because a base change of a smooth morphism is smooth and a flat base change of a Koszul-regular immersion is a Koszul-regular immersion, see Divisors, Lemma 31.21.3.
$\square$

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