# Kerodon

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

Corollary 6.3.6.3. Let $f: X \rightarrow S$ be a universally localizing morphism of simplicial sets, and let $W$ be the collection of edges $w$ of $X$ for which $f(w)$ is a degenerate edge of $S$. Then $f$ exhibits $S$ as a localization of $X$ with respect to $W$.