Definition identity_functor_unitors_associator {C : category} {tu : tensor_unit C} (ua : unitors_associator tu) : functor_unitors_associator ua ua (identity_functor_tensor_unit tu). Proof. repeat split. - apply id_preserves_lunitor. - apply id_preserves_runitor. - apply id_preserves_associator. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Import TensorNotation. Import TensorUnitNotation. Import TensorNotation. Import TensorUnitNotation. Import TensorNotation. Import TensorUnitNotation. Import TensorNotation. Import TensorUnitNotation. Import UnitorsAssociatorNotation. Import TensorNotation. Import TensorUnitNotation. Import UnitorsAssociatorNotation.