Remark 3.5.1.5 (Homotopy Invariance). Let $X$ and $Y$ be Kan complexes which are homotopy equivalent. Then $X$ is $n$-connective if and only if $Y$ is $n$-connective. See Remark 3.2.2.17.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$
Remark 3.5.1.5 (Homotopy Invariance). Let $X$ and $Y$ be Kan complexes which are homotopy equivalent. Then $X$ is $n$-connective if and only if $Y$ is $n$-connective. See Remark 3.2.2.17.