∀ {C : Type u₁} {D : Type u₂} {E : Type u₃} {F : Type u₄} [inst : CategoryTheory.Category.{v₁, u₁} C]
  [inst_1 : CategoryTheory.Category.{v₂, u₂} D] [inst_2 : CategoryTheory.Category.{v₃, u₃} E]
  [inst_3 : CategoryTheory.Category.{v₄, u₄} F] {G : CategoryTheory.Functor C E} {H : CategoryTheory.Functor D F}
  {L₁ : CategoryTheory.Functor C D} {R₁ : CategoryTheory.Functor D C} {L₂ : CategoryTheory.Functor E F}
  {R₂ : CategoryTheory.Functor F E} (adj₁ : L₁ ⊣ R₁) (adj₂ : L₂ ⊣ R₂) (α : CategoryTheory.TwoSquare R₁ H G R₂) (c : C),
  CategoryTheory.CategoryStruct.comp (G.map (adj₁.unit.app c)) (α.app (L₁.obj c)) =
    CategoryTheory.CategoryStruct.comp (adj₂.unit.app (G.obj ((CategoryTheory.Functor.id C).obj c)))
      (R₂.map (((CategoryTheory.mateEquiv adj₁ adj₂).symm α).app ((CategoryTheory.Functor.id C).obj c)))