Lemma 90.18.9. Let $\mathcal{C}$ be a site. Let $\mathcal{A} \to \mathcal{B}$ be a homomorphism of sheaves of rings on $\mathcal{C}$. If $p$ is a point of $\mathcal{C}$, then $(L_{\mathcal{B}/\mathcal{A}})_ p = L_{\mathcal{B}_ p/\mathcal{A}_ p}$.

**Proof.**
This is a special case of Lemma 90.18.3.
$\square$

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