∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) {U U' : Y.Opens} {V : X.Opens}
  (e : V ≤ (TopologicalSpace.Opens.map f.base).obj U) (i : U' = U) {Z : CommRingCat}
  (h : X.presheaf.obj (Opposite.op V) ⟶ Z),
  CategoryTheory.CategoryStruct.comp (Y.presheaf.map (CategoryTheory.eqToHom i).op)
      (CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.Hom.appLE f U' V ⋯) h) =
    CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.Hom.appLE f U V e) h