Definition 1.5.0.1. Let $\operatorname{\mathcal{C}}$ and $\operatorname{\mathcal{D}}$ be $\infty $-categories. A functor from $\operatorname{\mathcal{C}}$ to $\operatorname{\mathcal{D}}$ is a morphism of simplicial sets $F: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$.
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