Lemma 85.25.6. Let $U$ be a simplicial object of $\textit{LC}$ and let $a : U \to X$ be an augmentation. Let $\mathcal{F}$ be an abelian sheaf on $X$. Let $\mathcal{F}_ n$ be the pullback to $U_ n$. If $U$ is a proper hypercovering of $X$, then there exists a canonical spectral sequence

converging to $H^{p + q}(X, \mathcal{F})$.

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