Remark 3.1.2.3. Every anodyne morphism of simplicial sets $i: A_{} \rightarrow B_{}$ is a monomorphism. This follows from the observation that the collection of monomorphisms is weakly saturated (Proposition 1.4.5.12) and that every horn inclusion $\Lambda ^{n}_{i} \hookrightarrow \Delta ^ n$ is a monomorphism.

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