proposition: Proposition square_to_horizontal_cell_to_square (HB : horizontally_saturated B) {x y : B} {h₁ h₂ : x --> y} (s : square_double_bicat h₁ h₂ (id_v x) (id_v y)) : horizontal_cell_to_square (square_to_horizontal_cell HB s) = s.
proof: Proof. apply (homotweqinvweq (horizontal_cell_to_square_weq HB h₁ h₂)). Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Unitors UniMath.Bicategories.DoubleCategories.DoubleBicat.VerityDoubleBicat UniMath.Bicategories.DoubleCategories.DoubleBicat.DerivedLaws