fact: Definition split_essentially_surjective_inv_on_obj {C D : precategory_data} (F : functor C D) (HF : split_essentially_surjective F) : ob D → ob C := λ d, (pr1 (HF d)).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Univalence UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Univalence