Definition make_lax_monoidal_functor {V₁ V₂ : monoidal_cat} (F : V₁ ⟶ V₂) (μ : ∏ (x y : V₁), F x ⊗ F y --> F(x ⊗ y)) (η : I_{V₂} --> F(I_{V₁})) (HF : lax_monoidal_functor_laws F μ η) : lax_monoidal_functor V₁ V₂ := F ,, (μ ,, η) ,, lax_monoidal_functor_laws_to_monoidal_laws HF.
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. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Import BifunctorNotations. Import MonoidalNotations.