Definition comp_preserves_lunitor {C D E : category} {tuC : tensor_unit C} {tuD : tensor_unit D} {tuE : tensor_unit E} {F : functor C D} {G : functor D E} {ptuF : functor_tensor_unit tuC tuD F} {ptuG : functor_tensor_unit tuD tuE G} {luC : lunitor tuC} {luD : lunitor tuD} {luE : lunitor tuE} (pluF : preserves_lunitor ptuF luC luD) (pluG : preserves_lunitor ptuG luD luE) : preserves_lunitor (composite_functor_tensor_unit ptuF ptuG) luC luE.
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.