Definition transpose_strict_double_cat_twosided_disp_cat_id_comp : twosided_disp_cat_id_comp transpose_strict_double_cat_twosided_disp_cat_ob_mor. Proof. simple refine (_ ,, _). - exact (λ x y v, s_id_h_square v). - refine (λ x₁ x₂ x₃ y₁ y₂ y₃ v₁ v₂ v₃ h₁ h₂ h₃ h₄ s₁ s₂, _) ; cbn in *. exact (s₁ ⋆h 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.