∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [inst : AlgebraicGeometry.QuasiCompact f]
  [inst_1 : AlgebraicGeometry.QuasiSeparated f] {T : AlgebraicGeometry.Scheme} (f₁ f₁_1 : X ⟶ T) (e_f₁ : f₁ = f₁_1)
  (f₂ f₂_1 : T ⟶ Y) (e_f₂ : f₂ = f₂_1) [inst_2 : AlgebraicGeometry.IsIntegralHom f₂]
  (H : f = CategoryTheory.CategoryStruct.comp f₁ f₂),
  AlgebraicGeometry.Scheme.Hom.normalizationDesc f f₁ f₂ H =
    AlgebraicGeometry.Scheme.Hom.normalizationDesc f f₁_1 f₂_1 ⋯