Lemma 48.30.11. Let $j : U \to X$ be an open immersion of Noetherian schemes. Let $\mathcal{I} \subset \mathcal{O}_ X$ be a quasi-coherent sheaf of ideals with $V(\mathcal{I}) = X \setminus U$. Let $K$ be in $D^ b_{\textit{Coh}}(\mathcal{O}_ X)$. Then

is pro-isomorphic to a Deligne system with constant value $K|_ U$ over $U$.

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