Lemma 48.17.4. In Situation 48.16.1 let $Y$ be an object of $\textit{FTS}_ S$ and let $i : X \to Y$ be a closed immersion. Then there is a canonical isomorphism $i^!(-) = R\mathop{\mathcal{H}\! \mathit{om}}\nolimits (\mathcal{O}_ X, -)$ of functors.

**Proof.**
This is a restatement of Lemma 48.9.7.
$\square$

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