∀ {ι : Type u_1} {E : Type u_2} [inst : Fintype ι] [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace ℝ E]
  (b : Module.Basis ι ℝ E),
  b.parallelepiped =
    TopologicalSpace.PositiveCompacts.map ⇑b.equivFun.symm ⋯ ⋯ (TopologicalSpace.PositiveCompacts.piIcc01 ι)