Kerodon

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

Remark 4.2.1.5. Let $f: X \rightarrow S$ be a morphism of simplicial sets. If $f$ is either a left fibration or a right fibration, then it is an inner fibration. In this case, if $S$ is an $\infty $-category, then $X$ is also an $\infty $-category (Remark 4.1.1.9).