Lemma 100.8.3 (04ZY)—The Stacks project

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Part 7: Algebraic Stacks
Chapter 100: Properties of Algebraic Stacks
Section 100.8: Monomorphisms of algebraic stacks
Lemma 100.8.3 (cite)

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Lemma 100.8.3. Compositions of monomorphisms of algebraic stacks are monomorphisms.

Proof. This follows from the general discussion in Section 100.3 and Morphisms of Spaces, Lemma 67.10.4. $\square$

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