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The category of differential objects of an abelian category is itself an abelian category.

Lemma 12.22.2. Let $\mathcal{A}$ be an abelian category. The category of differential objects of $\mathcal{A}$ is abelian.

Proof. Omitted. $\square$

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Suggested slogan: The category of differential objects of an abelian category is itself an abelian category.

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