proposition: Proposition univalent_twosided_disp_cat_id_comp : twosided_disp_cat_id_comp univalent_profunctor_twosided_disp_cat_ob_mor.
proof: Proof. simple refine (_ ,, _). - exact (λ C D P, id_h_profunctor_square P). - exact (λ C₁ C₂ C₃ D₁ D₂ D₃ P₁ P₂ P₃ F₁ F₂ G₁ G₂ τ₁ τ₂, comp_h_profunctor_square τ₁ τ₂). Defined.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.Categories.CategoryOfSetCategories UniMath.CategoryTheory.Categories.HSET.All UniMath.CategoryTheory.Categories.HSET.SetCoends UniMath.CategoryTheory.Profunctors.Core UniMath.CategoryTheory.Profunctors.Examples UniMath.CategoryTheory.Profunctors.Squares UniMath.CategoryTheory.Profunctors.Transformation UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness UniMath.CategoryTheory.TwoSidedDisplayedCats.Examples.ProfunctorTwosidedDispCat UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.UnivalenceOp UniMath.Bicategories.Core.Examples.OpCellBicat UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.DoubleCategories.DoubleBicat.Core