Remark 9.3.2.3. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category. Then:
An object $X \in \operatorname{\mathcal{C}}$ is discrete (in the sense of Definition 9.3.2.1) if and only if is $0$-truncated (in the sense of Definition 9.3.2.1).
An object $X \in \operatorname{\mathcal{C}}$ is subterminal (in the sense of Definition 9.3.2.2) if and only if it is $(-1)$-truncated.