Corollary 4.7.6.16. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category and let $n \geq 0$ be an integer. If $\operatorname{\mathcal{C}}$ is $n$-coskeletal, then it is locally $(n-2)$-truncated.
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Corollary 4.7.6.16. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category and let $n \geq 0$ be an integer. If $\operatorname{\mathcal{C}}$ is $n$-coskeletal, then it is locally $(n-2)$-truncated.