Definition transpose_strict_double_cat_twosided_disp_cat_ob_mor : twosided_disp_cat_ob_mor transpose_strict_double_cat_setcategory transpose_strict_double_cat_setcategory. Proof. simple refine (_ ,, _) ; cbn. - exact (λ x y, x -->v y). - exact (λ x₁ x₂ y₁ y₂ v₁ v₂ h₁ h₂, s_square v₁ v₂ h₁ h₂). 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.