∀ {E : Type u_2} {F : Type u_3} [inst : NormedGroup E] [inst_1 : NormedGroup F],
  Prod.normedGroup =
    { toNorm := Prod.seminormedGroup.toNorm, toGroup := Prod.seminormedGroup.toGroup,
      toPseudoMetricSpace := Prod.seminormedGroup.toPseudoMetricSpace, eq_of_dist_eq_zero := ⋯, dist_eq := ⋯ }