Remark 4.6.9.22. In the situation of Proposition 4.6.9.21, the morphisms $\rho _{Y,X}$, $\rho _{Z,Y}$, and $\rho _{Z,X}$ are homotopy equivalences (Proposition 4.6.5.10). Consequently, Proposition 4.6.9.21 determines the composition law on the $\mathrm{h} \mathit{\operatorname{Kan}}$-enriched homotopy category of $\operatorname{N}_{\bullet }^{\operatorname{dg}}(\operatorname{\mathcal{C}})$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$