Lemma 106.8.3 (0H1I)—The Stacks project

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Table of contents
Part 7: Algebraic Stacks
Chapter 106: More on Morphisms of Stacks
Section 106.8: Formally smooth morphisms
Lemma 106.8.3 (cite)

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Lemma 106.8.3. The base change of a formally smooth morphism of algebraic stacks by any morphism of algebraic stacks is formally smooth.

Proof. Follows from Categories, Lemma 4.44.2 and the definition. $\square$

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