Essential surjectivity and full faithfulness for Segal animae

Remark 24.1.5. Note that a functor \(F\colon C \to D\) between \(\infty \)-categories is essentially surjective (resp. fully faithful) precisely if the induced map on nerves \(N(F)\colon N(C) \to N(D)\) is essentially surjective (resp. fully faithful). In particular, \(F\) is an equivalence if and only if \(N(F)\) is a Dwyer-Kan equivalence.