Lemma 20.46.5. Let $(X, \mathcal{O}_ X)$ be a ringed space. The derived category $D(\mathcal{O}_ X)$ is a symmetric monoidal category with tensor product given by derived tensor product with usual associativity and commutativity constraints (for sign rules, see More on Algebra, Section 15.68).

**Proof.**
Omitted. Compare with Lemma 20.46.1.
$\square$

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