Remark 9.4.5.5. Let $F: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ and $G: \operatorname{\mathcal{D}}\rightarrow \operatorname{\mathcal{E}}$ be morphisms of simplicial sets. If two of the morphisms $F$, $G$, and $G \circ F$ are Morita equivalences, then so is the third. In particular, the collection of Morita equivalences is closed under composition.
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