∀ {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}
  {R R' R'' : Φ.RightResolution X₂} (φ : R.Hom R') (ψ : R'.Hom R''),
  (φ.comp ψ).f = CategoryTheory.CategoryStruct.comp φ.f ψ.f