Definition adj_equivalence_ptdfunctor_in_moncat : adjoint_equivalence (B := monbicat) (_ ,, monoidal_pointed_objects Mon_V) (_ ,, monoidal_pointed_objects (monoidal_pointed_objects Mon_V)). Proof. use (invmap (adjoint_equivalence_total_disp_weq _ _) _). exists adj_equivalence_ptdfunctor_in_cat. exists (ptdob_to_ptdptdob_fmonoidal Mon_V). exact disp_adj_equivalence_ptdfunctor_in_moncat. 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.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. 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.coslicecat. Require Import UniMath.Bicategories.Core.Bicat. Require Import UniMath.CategoryTheory.Monoidal.Examples.MonoidalPointedObjects. Require Import UniMath.Bicategories.MonoidalCategories.PointedFunctorsWhiskeredMonoidal. Require Import UniMath.Bicategories.MonoidalCategories.EndofunctorsWhiskeredMonoidal. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Examples.BicatOfCats. Require Import UniMath.Bicategories.MonoidalCategories.BicatOfWhiskeredMonCats. Require Import UniMath.Bicategories.DisplayedBicats.DispAdjunctions.