fact: Definition conn_map_lex {Y X : Type} `{IsConnected O Y, IsConnected O X} (f : Y -> X) : IsConnMap O f := OO_conn_map_isconnected O O f.
imports: HoTT.Basics HoTT.Types HFiber Limits.Pullback Factorization Truncations.Core Modality Accessible Localization Descent Separated