proposition: Proposition double_cat_are_companions_left {C : double_cat} {x y : C} {h : x -->h y} {v : x -->v y} (c : double_cat_are_companions h v) : transportf_square (id_v_right _) (id_v_right _) (transportf_square (id_v_left _) (id_v_left _) (linvunitor_h h ⋆v (counit_double_cat_are_companions c ⋆h unit_double_cat_are_companions c)) ⋆v runitor_h h) = id_v_square h.
proof: Proof. exact (pr122 c). Defined.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.Bicategories.Core.Bicat UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics UniMath.Bicategories.DoubleCategories.Core.DoubleCats UniMath.Bicategories.DoubleCategories.DerivedLaws.TransportLaws UniMath.Bicategories.DoubleCategories.Underlying.HorizontalBicategory