fact: Definition sig_functor_obj : Functor sig_obj_as_sig sig_obj := Build_Functor sig_obj_as_sig sig_obj (fun x => x) (fun _ _ => @pr1_type _ _) (fun _ _ _ _ _ => idpath) (fun _ => idpath).
imports: HoTT.Basics HoTT.Types Category.Core Functor.Core Category.Sigma.Core Functor.Paths