Lemma 61.7.4 (097L)—The Stacks project

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Part 3: Topics in Scheme Theory
Chapter 61: Pro-étale Cohomology
Section 61.7: Ind-étale algebra
Lemma 61.7.4 (cite)

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Lemma 61.7.4. A filtered colimit of ind-étale $A$-algebras is ind-étale over $A$.

Proof. This is Algebra, Lemma 10.154.3. $\square$

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