∀ (R M : Type u_1) [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  (U : TopologicalSpace.Opens ↑(AlgebraicGeometry.PrimeSpectrum.Top R)) (x : ↑(AlgebraicGeometry.PrimeSpectrum.Top R))
  (hx : x ∈ U) (x_1 x_2 : (AlgebraicGeometry.structureSheafInType R M).val.obj (Opposite.op U)),
  ↑(x_1 + x_2) ⟨x, hx⟩ = ↑(x_1 + x_2) ⟨x, hx⟩