Definition 1.5.6.4. Let $f: A \rightarrow B$ be a morphism of simplicial sets. We will say that $f$ is inner anodyne if it belongs to the weakly saturated class of morphisms generated by the collection of all inner horn inclusions $\Lambda ^{n}_{i} \hookrightarrow \Delta ^ n$ (so that $0 < i < n$).
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$