Theorems · Theorem · measure theory

TopologicalGroup.IsSES.pushforward.congr_simp

∀ {A : Type u_1} {B : Type u_2} {C : Type u_3} {E : Type u_4} [inst : Group A] [inst_1 : Group B] [inst_2 : Group C]
  [inst_3 : TopologicalSpace A] [inst_4 : TopologicalSpace B] [inst_5 : TopologicalSpace C] {φ φ_1 : A →* B}
  (e_φ : φ = φ_1) {ψ ψ_1 : B →* C} (e_ψ : ψ = ψ_1) (H : TopologicalGroup.IsSES φ ψ) [inst_6 : IsTopologicalGroup A]
  [inst_7 : IsTopologicalGroup B] [inst_8 : NormedAddCommGroup E] [inst_9 : MeasurableSpace A] [inst_10 : BorelSpace A]
  (μA μA_1 : MeasureTheory.Measure A) (e_μA : μA = μA_1) [hμA : μA.IsHaarMeasure] [inst_11 : NormedSpace ℝ E]
  [inst_12 : IsTopologicalGroup C] [inst_13 : LocallyCompactSpace B], H.pushforward μA = ⋯.pushforward μA_1

Defined in

Mathlib.MeasureTheory.Measure.Haar.Extension

Cited by

0 results in Mathlib

Foundations

Depth 261 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupGroupGroupTopologicalSpaceTopologicalSpaceTopologicalSpaceIsTopologicalGroupIsTopologicalGroupNormedAddCommGroupMeasurableSpaceBorelSpaceMeasureTheory.Measure.IsHaarMeasureNormedSpaceIsTopologicalGroupLocallyCompactSpace