proposition: Proposition square_to_vertical_cell_to_square (HB : vertically_saturated B) {x y : B} {v₁ v₂ : x -|-> y} (s : square_double_bicat (id_h x) (id_h y) v₁ v₂) : vertical_cell_to_square (square_to_vertical_cell HB s) = s.
proof: Proof. apply (homotweqinvweq (vertical_cell_to_square_weq HB v₁ v₂)). 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