Kerodon

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

Example 6.3.1.5. Let $W = \{ \operatorname{id}_{\Delta ^1} \} $ consist of the single nondegenerate edge of the standard $1$-simplex $\Delta ^1$. For every $\infty $-category $\operatorname{\mathcal{E}}$, $\operatorname{Fun}(\Delta ^1[W^{-1}], \operatorname{\mathcal{E}})$ is the full subcategory $\operatorname{Isom}(\operatorname{\mathcal{E}}) \subseteq \operatorname{Fun}(\Delta ^1, \operatorname{\mathcal{E}})$ spanned by the isomorphisms in $\operatorname{\mathcal{E}}$ (Example 4.4.1.13).