∀ {E : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E] [inst_2 : FiniteDimensional ℝ E]
  {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace ℝ F] (f f_1 : E → F),
  f = f_1 →
    ∀ (s s_1 : Set E),
      s = s_1 →
        ∀ (a a_1 : E), a = a_1 → InnerProductSpace.laplacianWithin f s a = InnerProductSpace.laplacianWithin f_1 s_1 a_1