Definition nattrans_tensor_unit {C D : category} {tuC : tensor_unit C} {tuD : tensor_unit D} {F G : functor C D} (ptuF : functor_tensor_unit tuC tuD F) (ptuG : functor_tensor_unit tuC tuD G) (α : nat_trans F G) : UU := preservestensor_commutes ptuF ptuG α × preservesunit_commutes ptuF ptuG α.
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.