# Kerodon

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

Remark 6.3.6.6. Suppose we are given a pullback diagram of simplicial sets

$\xymatrix@R =50pt@C=50pt{ X' \ar [r] \ar [d]^{f'} & X \ar [d]^{f} \\ S' \ar [r] & S. }$

If $f$ is universally localizing, then $f'$ is universally localizing.