Definition transpose_strict_double_cat_hor_comp_data : hor_comp_data transpose_strict_double_cat_twosided_disp_cat. Proof. use make_hor_comp_data ; cbn. - exact (λ x y z v₁ v₂, v₁ ·v v₂). - exact (λ x₁ x₂ y₁ y₂ z₁ z₂ h₁ h₂ h₃ v₁ v₂ w₁ w₂ s₁ s₂, s₁ ⋆v s₂). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness. Require Import UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics. Require Import UniMath.Bicategories.DoubleCategories.Basics.StrictDoubleCatBasics. Require Import UniMath.Bicategories.DoubleCategories.Core.StrictDoubleCats.