Example 11.6.0.17. Let $(A, \leq )$ be a partially ordered set. Combining Exercise 11.6.0.15 with Corollary 9.1.2.8, we see that the $\infty $-category $\operatorname{N}_{\bullet }(A)$ is filtered if and only if the partially ordered set $(A, \leq )$ is directed.

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