Lemma 70.23.7 (0CPD)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 70: Limits of Algebraic Spaces
Section 70.23: Descending finite type spaces
Lemma 70.23.7 (cite)

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Lemma 70.23.7. Notation and assumptions as in Lemma 70.23.4. If $f$ is smooth, then there exists an $i_3 > i_0$ such that for $i \geq i_3$ we have $f_ i$ is smooth.

Proof. Combine Lemmas 70.23.6 and 70.6.3. $\square$

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