Variant 3.5.1.6. Let $X$ be a simplicial set and let $n$ be an integer. Using Corollary 3.1.7.2, we can choose an anodyne map $X \hookrightarrow Q$, where $Q$ is a Kan complex. We will say that $X$ is $n$-connective if the Kan complex $Q$ is $n$-connective, in the sense of Definition 3.5.1.1. By virtue of Remark 3.5.1.5 (and Warning 3.1.7.3), this condition is independent of the choice of $Q$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$