fact: Definition is_setcategory_total_of_set_functor {C : setcategory} (F : C ⟶ cat_of_setcategory) : is_setcategory (total_precategory_of_set_functor F).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.Categories.CategoryOfSetCategories