∀ {C₁ : Type u_6} {C₂ : Type u_4} [inst : CategoryTheory.Category.{u_5, u_6} C₁]
  [inst_1 : CategoryTheory.Category.{u_3, u_4} C₂] {W₁ : CategoryTheory.MorphismProperty C₁}
  {W₂ : CategoryTheory.MorphismProperty C₂} (Φ : CategoryTheory.LocalizerMorphism W₁ W₂) {D : Type u_2}
  [inst_2 : CategoryTheory.Category.{u_1, u_2} D] (L : CategoryTheory.Functor C₂ D) [inst_3 : L.IsLocalization W₂]
  {X₂ : C₂} {X₃ : D} (y : L.obj X₂ ⟶ X₃) (R : Φ.RightResolution X₂),
  CategoryTheory.CategoryStruct.comp
      (((CategoryTheory.TwoSquare.mk Φ.functor (Φ.functor.comp L) L (CategoryTheory.Functor.id D)
                  (Φ.functor.comp L).rightUnitor.inv).structuredArrowDownwards
              X₂).obj
          (CategoryTheory.StructuredArrow.mk R.w)).hom
      ((CategoryTheory.Functor.id D).map
        (CategoryTheory.CategoryStruct.comp (CategoryTheory.Localization.isoOfHom L W₂ R.w ⋯).inv y)) =
    (CategoryTheory.StructuredArrow.mk y).hom