∀ (Y : AlgebraicGeometry.Scheme) (x x_1 : (CategoryTheory.Over Y)ᵒᵖ) (x_2 : x ⟶ x_1),
  CategoryTheory.CategoryStruct.comp
      ((Y.kerFunctor.comp (AlgebraicGeometry.Scheme.IdealSheafData.subschemeFunctor Y).rightOp).map x_2)
      (CategoryTheory.Over.homMk (AlgebraicGeometry.Scheme.Hom.toImage (Opposite.unop x_1).hom) ⋯).op =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Over.homMk (AlgebraicGeometry.Scheme.Hom.toImage (Opposite.unop x).hom) ⋯).op
      ((CategoryTheory.Functor.id (CategoryTheory.Over Y)ᵒᵖ).map x_2)