# Kerodon

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Corollary 7.4.1.10. Let $\operatorname{\mathcal{C}}$ be a small simplicial set and let $\mathscr {F}: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{QC}}$ be a diagram in the $\infty$-category $\operatorname{\mathcal{QC}}$. Then the $\infty$-category of cocartesian sections $\operatorname{Fun}_{ /\operatorname{\mathcal{C}}}^{\operatorname{CCart}}( \operatorname{\mathcal{C}}, \int _{\operatorname{\mathcal{C}}} \mathscr {F} )$ is a limit of the diagram $\mathscr {F}$.

Proof. Apply Corollary 7.4.1.9 to the cocartesian fibration $U: \int _{\operatorname{\mathcal{C}}} \mathscr {F} \rightarrow \operatorname{\mathcal{C}}$. $\square$