Lemma 24.29.7. Let $(\mathcal{C}, \mathcal{O})$ be a ringed site. Let $\mathcal{A}$, $\mathcal{A}'$, $\mathcal{A}''$ be differential graded $\mathcal{O}$-algebras. Let $\mathcal{N}$ and $\mathcal{N}'$ be a differential graded $(\mathcal{A}, \mathcal{A}')$-bimodule and $(\mathcal{A}', \mathcal{A}'')$-bimodule. Assume that the canonical map

in $D(\mathcal{A}'', \text{d})$ is a quasi-isomorphism. Then we have

as functors $D(\mathcal{A}'', \text{d}) \to D(\mathcal{A}, \text{d})$.

## Comments (0)