Proposition transpose_strict_double_cat_twosided_disp_cat_axioms : twosided_disp_cat_axioms transpose_strict_double_cat_twosided_disp_cat_data. Proof. repeat split. - intros x₁ x₂ y₁ y₂ v₁ v₂ h k s ; cbn in *. rewrite strict_square_id_left. apply idpath. - intros x₁ x₂ y₁ y₂ v₁ v₂ h k s ; cbn in *. rewrite strict_square_id_right. apply idpath. - intros x₁ x₂ x₃ x₄ y₁ y₂ y₃ y₄ v₁ v₂ v₃ v₄ h₁ h₂ h₃ k₁ k₂ k₃ s₁ s₂ s₃ ; cbn in *. rewrite strict_square_assoc. apply idpath. - intros x₁ x₂ y₁ y₂ v₁ v₂ h k ; cbn. apply isaset_s_square. Qed.
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.