The Stacks project

Lemma 20.55.4. In Situation 20.55.2 let $\mathcal{F}^\bullet $ be a complex of $\mathcal{I}$-torsion free $\mathcal{O}_ X$-modules. For $x \in X$ choose a generator $f \in \mathcal{I}_ x$. Then the stalk $(\eta _\mathcal {I}\mathcal{F}^\bullet )_ x$ is canonically isomorphic to the complex $\eta _ f\mathcal{F}^\bullet _ x$ constructed in More on Algebra, Section 15.95.

Proof. Omitted. $\square$

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