Definition comp_v_square {C : double_cat} {x₁ x₂ y₁ y₂ z₁ z₂ : C} {v₁ : x₁ -->v y₁} {v₁' : y₁ --> z₁} {v₂ : x₂ -->v y₂} {v₂' : y₂ --> z₂} {h₁ : x₁ -->h x₂} {h₂ : y₁ -->h y₂} {h₃ : z₁ -->h z₂} (s₁ : square v₁ v₂ h₁ h₂) (s₂ : square v₁' v₂' h₂ h₃) : square (v₁ ·v v₁') (v₂ ·v v₂') h₁ h₃ := s₁ ;;2 s₂.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.Bicategories.Core.Examples.BicatOfUnivCats. Require Import UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics.