fact: Definition Quotobjectscategory (c : C) : UU := Undercategory (subprecategory_of_epis C) (has_homsets_subprecategory_of_epis C) (subprecategory_of_epis_ob C c).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.UnderCategories UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Subcategory.Core UniMath.CategoryTheory.Limits.Pushouts