Definition functor_strong_monoidal_to_lax_monoidal {C D : category} {F : functor C D} {tuuaC : tensor_unit_unitors_associator C} {tuuaD : tensor_unit_unitors_associator D} (ftuuas : functor_strong_monoidal F tuuaC tuuaD) : functor_lax_monoidal F tuuaC tuuaD := pr1 ftuuas.
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.