fact: Definition Cone_precategory_ob_mor : precategory_ob_mor := make_precategory_ob_mor Cone (λ a b, Cone_Mor a b).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors