proposition: Proposition transpose_strict_double_cat_twosided_disp_cat_axioms : twosided_disp_cat_axioms transpose_strict_double_cat_twosided_disp_cat_data.
proof: 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.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics UniMath.Bicategories.DoubleCategories.Basics.StrictDoubleCatBasics UniMath.Bicategories.DoubleCategories.Core.StrictDoubleCats