Definition hor_comp_data_two_cat_arrow_twosided_disp_cat : hor_comp_data (two_cat_arrow_twosided_disp_cat C). Proof. use make_hor_comp_data. - exact (λ x y z f g, f · g). - intros x₁ x₂ y₁ y₂ z₁ z₂ v₁ v₂ v₃ h₁ h₂ k₁ k₂ s₁ s₂ ; cbn in *. exact (two_cat_rassociator _ _ _ • (_ ◃ s₂) • two_cat_lassociator _ _ _ • (s₁ ▹ _) • two_cat_rassociator _ _ _). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.Core.TwoCategories. Import TwoCategories.Notations. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Examples.SquaresTwoCat. Require Import UniMath.Bicategories.DoubleCategories.Basics.StrictDoubleCatBasics. Require Import UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics. Require Import UniMath.Bicategories.DoubleCategories.Core.DoubleCats. Require Import UniMath.Bicategories.DoubleCategories.Core.UnivalentDoubleCats. Require Import UniMath.Bicategories.DoubleCategories.Core.PseudoDoubleSetCats. Require Import UniMath.Bicategories.DoubleCategories.Core.CompanionsAndConjoints.