Definition comp_hor_globular_square {B : verity_double_bicat} {x y : B} {h₁ h₂ h₃ : x --> y} (s₁ : square_double_bicat h₁ h₂ (id_v x) (id_v y)) (s₂ : square_double_bicat h₂ h₃ (id_v x) (id_v y)) : square_double_bicat h₁ h₃ (id_v x) (id_v y) := linvunitor _ ◃s (lunitor _ ▹s s₁ ⋆v s₂).
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.DoubleCategories.DoubleBicat.VerityDoubleBicat.