fact: Definition pr1_mor : Functor sig_mor' A := Build_Functor sig_mor' A idmap (fun _ _ => @pr1_type _ _) (fun _ _ _ _ _ => idpath) (fun _ => idpath).
imports: HoTT.Tactics Types.Forall Types.Sigma Basics.Trunc Category.Core Functor.Core Category.Sigma.Core Functor.Paths