Kerodon

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

Remark 5.4.2.4. Let $\operatorname{\mathcal{C}}$ be a simplicial category containing an object $X$, which we also regard as an object of the opposite simplicial category $\operatorname{\mathcal{C}}^{\operatorname{op}}$. Then there is a canonical isomorphism of simplicial categories $(\operatorname{\mathcal{C}}_{X/})^{\operatorname{op}} \simeq (\operatorname{\mathcal{C}}^{\operatorname{op}})_{/X}$.