{C₁ : Type u_1} →
  {C₂ : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C₁] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} C₂] →
        {W₁ : CategoryTheory.MorphismProperty C₁} →
          {W₂ : CategoryTheory.MorphismProperty C₂} →
            {Φ : CategoryTheory.LocalizerMorphism W₁ W₂} →
              {X₂ : C₂} →
                {motive : Φ.RightResolution X₂ → Sort u} →
                  (t : Φ.RightResolution X₂) →
                    ({X₁ : C₁} → (w : X₂ ⟶ Φ.functor.obj X₁) → (hw : W₂ w) → motive { X₁ := X₁, w := w, hw := hw }) →
                      motive t