Corollary 4.7.8.2. Let $\operatorname{\mathcal{C}}$ be a minimal $\infty $-category and let $n \geq -1$ be an integer. Then $\operatorname{\mathcal{C}}$ is an $n$-category if and only if it is locally $(n-1)$-truncated.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$