Proposition double_cat_are_companions_right {C : double_cat} {x y : C} {h : x -->h y} {v : x -->v y} (c : double_cat_are_companions h v) : transportf_square (idpath _) (id_right _) (transportf_square (id_left _) (idpath _) (counit_double_cat_are_companions c ⋆v unit_double_cat_are_companions c)) = id_h_square v. Proof. exact (pr222 c). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics. Require Import UniMath.Bicategories.DoubleCategories.Core.DoubleCats. Require Import UniMath.Bicategories.DoubleCategories.DerivedLaws.TransportLaws. Require Import UniMath.Bicategories.DoubleCategories.Underlying.HorizontalBicategory.