Definition H_monoidal : functor_monoidal_cat lu luD ru ruD α αD. Proof. exists (H,, pr1 (TransportedTensorComm Duniv H_eso H_ff TC),, id H I). split. - split. + exact (H_plu Duniv H_eso H_ff TC I lu). + exact (H_pru Duniv H_eso H_ff TC I ru). - exact (H_pα Duniv H_eso H_ff TC α I). Defined.
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.Core.Univalence. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.catiso. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.PrecompEquivalence. Require Import UniMath.CategoryTheory.ProductCategory. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.DisplayedCats.TotalCategoryFacts. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions.Product. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions.FullSubcategory. Require Import UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored. Require Import UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalFunctorCategory. Require Import UniMath.CategoryTheory.Monoidal.RezkCompletion.LiftedTensor. Require Import UniMath.CategoryTheory.Monoidal.RezkCompletion.LiftedTensorUnit. Require Import UniMath.CategoryTheory.Monoidal.RezkCompletion.LiftedUnitors. Require Import UniMath.CategoryTheory.Monoidal.RezkCompletion.LiftedAssociator.