Lemma 24.26.6 (0FT7)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 24: Differential Graded Sheaves
Section 24.26: The derived category
Lemma 24.26.6 (cite)

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Lemma 24.26.6. In Definition 24.26.4 the functor $H^0 : K(\textit{Mod}(\mathcal{A}, \text{d})) \to \textit{Mod}(\mathcal{O})$ factors through a homological functor $H^0 : D(\mathcal{A}, \text{d}) \to \textit{Mod}(\mathcal{O})$ .

Proof. Follows immediately from Derived Categories, Lemma 13.5.7. $\square$

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