Definition hor_comp_ver_opposite_double_cat_data : hor_comp_data (ver_op_twosided_disp_cat (hor_mor C)). Proof. use make_hor_comp_data. - exact (λ (x y z : C) (h : x -->h y) (k : y -->h z), h ·h k). - exact (λ (x₁ x₂ y₁ y₂ z₁ z₂ : C) (v₁ : x₂ -->v x₁) (v₂ : y₂ -->v y₁) (v₃ : z₂ -->v z₁) (h₁ : x₁ -->h y₁) (h₂ : y₁ -->h z₁) (k₁ : x₂ -->h y₂) (k₂ : y₂ -->h z₂) (s₁ : square v₁ v₂ k₁ h₁) (s₂ : square v₂ v₃ k₂ h₂), s₁ ⋆h s₂). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Examples.Opposites. Require Import UniMath.CategoryTheory.Limits.Pullbacks. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Examples.BicatOfUnivCats. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. 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.DerivedLaws.TransportLaws. Require Import UniMath.Bicategories.DoubleCategories.DerivedLaws.Variations. Require Import UniMath.Bicategories.DoubleCategories.Underlying.HorizontalBicategory.