Lemma 21.47.8 (08GA)—The Stacks project

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Lemma 21.47.8. Let $(\mathcal{C}, \mathcal{O})$ be a ringed site. If $K \oplus L$ is a perfect object of $D(\mathcal{O})$ , then so are $K$ and $L$ .

Proof. Follows from Lemmas 21.47.4, 21.45.6, and 21.46.8. $\square$

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