Example 4.6.7.5. 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.
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