Remark 5.4.6.4. Let $F: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ be a morphism of simplicial sets and let $W$ be a collection of edges of $\operatorname{\mathcal{D}}$. If $W$ has the two-out-of-six property, then the inverse image $F^{-1}(W)$ also has the two-out-of-six property.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$