Definition comp_preserves_runitor {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} {ruC : runitor tuC} {ruD : runitor tuD} {ruE : runitor tuE} (pruF : preserves_runitor ptuF ruC ruD) (pruG : preserves_runitor ptuG ruD ruE) : preserves_runitor (composite_functor_tensor_unit ptuF ptuG) ruC ruE.
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.