Definition is_hor_cylinder {B : ver_bicat_sq_id_comp_whisker} {w x y z : B} {v₁ : w -|-> y} {v₂ : x -|-> z} {h₁ h₁' : w --> x} {h₂ h₂' : y --> z} (s : square_double_bicat h₁ h₂ v₁ v₂) (s' : square_double_bicat h₁' h₂' v₁ v₂) (τ₁ : h₁ ==> h₁') (τ₂ : h₂ ==> h₂') : UU := τ₂ ▿s s = τ₁ ▵s s'.
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.