Theorems · Theorem · measure theory

Module.Basis.map_addHaar

∀ {ι : Type u_1} {E : Type u_2} {F : Type u_3} [inst : Fintype ι] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace ℝ E] [inst_4 : NormedSpace ℝ F] [inst_5 : MeasurableSpace E]
  [inst_6 : MeasurableSpace F] [inst_7 : BorelSpace E] [inst_8 : BorelSpace F] [SecondCountableTopology F]
  [SigmaCompactSpace F] (b : Module.Basis ι ℝ E) (f : E ≃L[ℝ] F),
  MeasureTheory.Measure.map (⇑f) b.addHaar = (b.map ↑f).addHaar

Defined in

Mathlib.MeasureTheory.Measure.Lebesgue.EqHaar

Cited by

5 results in Mathlib

Foundations

Depth 237 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeNormedAddCommGroupNormedAddCommGroupNormedSpaceNormedSpaceMeasurableSpaceMeasurableSpaceBorelSpaceBorelSpaceSecondCountableTopologySigmaCompactSpace