Lemma 10.35.17. Let $R$ be a Jacobson ring. Let $I \subset R$ be an ideal. The ring $R/I$ is Jacobson and maximal ideals of $R/I$ correspond to maximal ideals of $R$ containing $I$.

**Proof.**
The proof is the same as the proof of Lemma 10.35.14.
$\square$

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