# Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$

Example 4.6.6.5. Let $\operatorname{\mathcal{C}}$ be an $\infty$-category. Then the cone point of the $\infty$-category $\operatorname{\mathcal{C}}^{\triangleleft }$ is an initial object. Similarly, the cone point of $\operatorname{\mathcal{C}}^{\triangleright }$ is a final object.