Lemma 31.13.11 (053P)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 31: Divisors
Section 31.13: Effective Cartier divisors
Lemma 31.13.11 (cite)

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Lemma 31.13.11. Let $f : S' \to S$ be a morphism of schemes. Let $Z \subset S$ be a locally principal closed subscheme. Then the inverse image $f^{-1}(Z)$ is a locally principal closed subscheme of $S'$ .

Proof. Omitted. $\square$

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