Definition comp_h_square_bicat {B : ver_bicat_sq_bicat_ver_id_comp} {x₁ x₂ x₃ y₁ y₂ y₃ : B} {h₁ : x₁ --> x₂} {h₂ : x₂ --> x₃} {k₁ : y₁ --> y₂} {k₂ : y₂ --> y₃} {v₁ : x₁ -|-> y₁} {v₂ : x₂ -|-> y₂} {v₃ : x₃ -|-> y₃} (s₁ : square_double_bicat h₁ k₁ v₁ v₂) (s₂ : square_double_bicat h₂ k₂ v₂ v₃) : square_double_bicat (h₁ · h₂) (k₁ · k₂) v₁ v₃ := pr22 (pr211 B) x₁ x₂ x₃ y₁ y₂ y₃ v₁ v₂ v₃ h₁ h₂ k₁ k₂ s₁ s₂.
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.