∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {H : Type u_3} [inst_3 : TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {M : Type u_4}
  [inst_4 : TopologicalSpace M] [inst_5 : ChartedSpace H M] {z : M} {F' : Type u_21} [inst_6 : NormedRing F']
  [inst_7 : NormedAlgebra 𝕜 F'] {p q : M → F'} {p' q' : TangentSpace I z →L[𝕜] F'},
  HasMFDerivAt I (modelWithCornersSelf 𝕜 F') p z p' →
    HasMFDerivAt I (modelWithCornersSelf 𝕜 F') q z q' →
      HasMFDerivAt I (modelWithCornersSelf 𝕜 F') (p * q) z (p z • q' + MulOpposite.op (q z) • p')