Lemma 10.55.7 (00JI)—The Stacks project

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Lemma 10.55.7. Let $R$ be an Artinian local ring. The map $\text{length}_ R : K'_0(R) \to \mathbf{Z}$ of Lemma 10.55.1 is an isomorphism.

Proof. Omitted. $\square$

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