Definition bicat_to_twosided_disp_cat_id_comp : twosided_disp_cat_id_comp bicat_to_twosided_disp_cat_ob_mor. Proof. simple refine (_ ,, _). - exact (λ x y f, runitor _ • linvunitor _). - refine (λ x₁ x₂ y₁ y₂ z₁ z₂ f g h p₁ p₂ q₁ q₂ s₁ s₂, _). induction p₁, p₂, q₁, q₂ ; cbn in *. exact (s₁ • lunitor _ • rinvunitor _ • s₂). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness. Require Import UniMath.CategoryTheory.Categories.StandardCategories. Require Import UniMath.CategoryTheory.Groupoids. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Strictness. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics. Require Import UniMath.Bicategories.DoubleCategories.Core.DoubleCats. Require Import UniMath.Bicategories.DoubleCategories.Core.PseudoDoubleSetCats.