Example 9.1.1.2. Let $(A, \leq )$ be a partially ordered set. Then the $\infty $-category $\operatorname{N}_{\bullet }(A)$ is filtered if and only if $(A, \leq )$ is directed: that, every finite subset $A_0 \subseteq A$ has an upper bound.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$