Definition param_distr_bicat_pentagon_eq_body_RHS (v w : V) (dv: montrafotargetbicat_disp v) (dw: montrafotargetbicat_disp w) : H v · FA' w ==> FA (v ⊗ w) · G := ((dv ▹ FA' w) • ((rassociator (FA v) G (FA' w) : H' v · FA' w ==> FA v · H w) • (FA v ◃ dw))) • ((lassociator (FA v) (FA w) G : FA v · H' w ==> FA v ⊗_{ monoidal_from_bicat_and_ob a0} FA w · G) • (fmonoidal_preservestensordata FAm v w ▹ G)). (* Proof. set (aux1 := rwhisker (FA' w) dv). set (aux2 := lwhisker (FA v) dw). transparent assert (auxr : (H v · FA' w ==> FA v · H' w)). { refine (vcomp2 aux1 _). refine (vcomp2 _ aux2). cbn. apply rassociator. } set (aux3 := rwhisker G (fmonoidal_preservestensordata FAm v w)). refine (vcomp2 auxr _). refine (vcomp2 _ aux3). cbn. apply lassociator. Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Categories.Dialgebras. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Functors. Require Import UniMath.CategoryTheory.Monoidal.Displayed.WhiskeredDisplayedBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Displayed.Monoidal. Require Import UniMath.CategoryTheory.Monoidal.Displayed.TotalMonoidal. Require Import UniMath.CategoryTheory.Monoidal.Displayed.MonoidalSections. Require Import UniMath.Bicategories.MonoidalCategories.EndofunctorsWhiskeredMonoidal. Require Import UniMath.Bicategories.MonoidalCategories.Actions. Require Import UniMath.Bicategories.MonoidalCategories.ActionBasedStrength. Require Import UniMath.Bicategories.MonoidalCategories.WhiskeredMonoidalFromBicategory. Require Import UniMath.Bicategories.Core.Bicat. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Examples.BicatOfCats. Import Bicat.Notations. Import BifunctorNotations. Import DisplayedBifunctorNotations. Import MonoidalNotations. Section FromMonoidalSectionBicat. End FromMonoidalSectionBicat. Section FromMonoidalSection. End FromMonoidalSection.