Remark 5.1.3.2. Let $q: X \rightarrow S$ be a morphism of simplicial sets and $q^{\operatorname{op}}: X^{\operatorname{op}} \rightarrow S^{\operatorname{op}}$ be the opposite morphism. Then an edge $e$ of $X$ is locally $q$-cartesian if and only if it is locally $q^{\operatorname{op}}$-cocartesian.
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