# Kerodon

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Remark 7.1.6.5 (Transitivity). Let $U: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ and $V: \operatorname{\mathcal{D}}\rightarrow \operatorname{\mathcal{E}}$ be functors of $\infty$-categories, and let $Y \in \operatorname{\mathcal{C}}$ be an object for which $U(Y)$ is $V$-final. Then $Y$ is $U$-final if and only if it is $(V \circ U)$-final.