# Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$

Example 3.2.6.6. Let $\operatorname{\mathcal{C}}$ be a category. If $\operatorname{\mathcal{C}}$ has an initial object or a final object, then the simplicial set $\operatorname{N}_{\bullet }(\operatorname{\mathcal{C}})$ is contractible (this is a special case of Proposition 3.1.5.9).