Lemma 24.19.2. In the situation above, let $\mathcal{M}$ be a right differential graded $\mathcal{A}_ U$-module and let $\mathcal{N}$ be a left differential graded $\mathcal{A}$-module. Then

as complexes of $\mathcal{O}$-modules functorially in $\mathcal{M}$ and $\mathcal{N}$.

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