∀ (𝕜 : Type u_1) {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
  {ι : Type u_3} [inst_3 : LinearOrder ι] [inst_4 : LocallyFiniteOrderBot ι] [inst_5 : WellFoundedLT ι] (f f_1 : ι → E),
  f = f_1 →
    ∀ (n n_1 : ι), n = n_1 → InnerProductSpace.gramSchmidtNormed 𝕜 f n = InnerProductSpace.gramSchmidtNormed 𝕜 f_1 n_1