Theorems · Theorem · measure theory

Module.Basis.parallelepiped_map

∀ {ι : Type u_1} {E : Type u_3} {F : Type u_4} [inst : Fintype ι] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace ℝ E] [inst_4 : NormedSpace ℝ F] (b : Module.Basis ι ℝ E)
  (e : E ≃ₗ[ℝ] F), (b.map e).parallelepiped = TopologicalSpace.PositiveCompacts.map ⇑e ⋯ ⋯ b.parallelepiped

Defined in

Mathlib.MeasureTheory.Measure.Haar.OfBasis

Cited by

1 results in Mathlib

Foundations

Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeNormedAddCommGroupNormedAddCommGroupNormedSpaceNormedSpace