Definition 111.30.7. Let $\mathcal{A}$ be an abelian category. Let $K^\bullet $ be a complex of $\text{Fil}^ f(\mathcal{A})$. We say that $K^\bullet $ is *filtered acyclic* if for each $p \in \mathbf{Z}$ the complex $\text{gr}^ p(K^\bullet )$ is acyclic.

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