# Kerodon

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Example 1.3.3.2. Let $\operatorname{\mathcal{C}}$ be an ordinary category. Then a pair of morphisms $f,g: C \rightarrow D$ in $\operatorname{\mathcal{C}}$ (having the same source and target) are homotopic as morphisms of the $\infty$-category $\operatorname{N}_{\bullet }(\operatorname{\mathcal{C}})$ if and only if $f=g$.