fact: Definition coslicecat_ob_object (f : coslicecat_ob) : ob C := pr1 f.
imports: UniMath.Foundations.PartA UniMath.Foundations.PartD UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total