proposition: Lemma is_functor_identity (C : precategory_data) : is_functor ( functor_identity_data C ) .
proof: Proof. split; simpl. unfold functor_idax. intros; apply idpath. unfold functor_compax. intros; apply idpath. Defined.
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