Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Example 1.2.5.7. Let $S$ be a simplicial set of dimension exactly $1$ (that is, a simplicial set $S$ which arises from a directed graph with at least one edge). Then $S$ is not a Kan complex.