proposition: Proposition lunitor_square {C : double_cat} {x₁ x₂ y₁ y₂ : C} {v₁ : x₁ -->v x₂} {v₂ : y₁ -->v y₂} {h₁ : x₁ -->h y₁} {h₂ : x₂ -->h y₂} (s : square v₁ v₂ h₁ h₂) : (id_h_square _ ⋆h s) ⋆v lunitor_h h₂ = transportb_square (id_v_right _ @ !(id_v_left _)) (id_v_right _ @ !(id_v_left _)) (lunitor_h h₁ ⋆v s).
proof: Proof. exact (!(double_lunitor_nat (double_cat_double_lunitor C) s)). Defined.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics