Lemma 67.10.4 (042O)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 67: Morphisms of Algebraic Spaces
Section 67.10: Monomorphisms
Lemma 67.10.4 (cite)

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Lemma 67.10.4. A composition of monomorphisms is a monomorphism.

Proof. True because a composition of injective sheaf maps is injective. $\square$

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