Lemma 10.42.2 (030P)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 10: Commutative Algebra
Section 10.42: Separable extensions
Lemma 10.42.2 (cite)

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Lemma 10.42.2. Let $K/k$ be a separable field extension. For any subextension $K/K'/k$ the field extension $K'/k$ is separable.

Proof. This is direct from the definition. $\square$

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