∀ (R S : CommRingCat) (p : PrimeSpectrum ↑R) [inst : Algebra ↑R ↑S] (a : ↑(CommRingCat.of ↑S)),
  (AlgebraicGeometry.StructureSheaf.toPushforwardStalkAlgHom R S p) a =
    (((TopCat.Presheaf.pushforward CommRingCat
                  (AlgebraicGeometry.Spec.topMap (CommRingCat.ofHom (algebraMap ↑R ↑S)))).obj
              (AlgebraicGeometry.Spec.structureSheaf ↑S).obj).germ
          ⊤ p trivial).hom'
      ((CommRingCat.ofHom
            (algebraMap (↑S)
              ((AlgebraicGeometry.structureSheafInType ↑S ↑S).obj.obj
                (Opposite.op
                  ((TopologicalSpace.Opens.map
                        (AlgebraicGeometry.Spec.topMap (CommRingCat.ofHom (algebraMap ↑R ↑S)))).obj
                    ⊤))))).hom'
        a)