∀ {C : Type u_4} [inst : CategoryTheory.Category.{u_3, u_4} C] {X Y : C} (f g : X ⟶ Y) {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{u_1, u_2} D] (G : CategoryTheory.Functor C D)
  [inst_2 : CategoryTheory.Limits.HasCoequalizer f g],
  CategoryTheory.CategoryStruct.comp (G.map f) (G.map (CategoryTheory.Limits.coequalizer.π f g)) =
    CategoryTheory.CategoryStruct.comp (G.map g) (G.map (CategoryTheory.Limits.coequalizer.π f g))