proposition: Lemma identityfunctor_preserves_tensor_nat {C : category} (T : tensor C) : preserves_tensor_nat (identityfunctor_preserves_tensor_data T).
proof: Proof. intros x1 x2 y1 y2 f g. rewrite id_left. rewrite id_right. apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos