# Kerodon

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Remark 5.3.2.5. Let $\operatorname{\mathcal{D}}$ be an $(\infty ,2)$-category and let $q: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ be an interior fibration. Then, for every object $X \in \operatorname{\mathcal{D}}$, the fiber $\operatorname{\mathcal{C}}_{X} = \{ X\} \times _{\operatorname{\mathcal{D}}} \operatorname{\mathcal{C}}$ is an $\infty$-category (this follows by combining Example 5.3.2.2 with Remark 5.3.2.4).