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Theorems · Theorem · Lie groups

MeasureTheory.Measure.map_inv_eq_self

∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Inv G] (μ : MeasureTheory.Measure G) [μ.IsInvInvariant],
  MeasureTheory.Measure.map Inv.inv μ = μ
Defined in
Mathlib.MeasureTheory.Group.Measure
Cited by
5 results in Mathlib
Foundations
Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceInvMeasureTheory.Measure.IsInvInvariant
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.IntegrableOn.comp_inv · cited by 4IntegrableOn.comp_invMeasureTheory.lintegral_inv_eq_self · cited by 2MeasureTheory.lintegral_i…MeasureTheory.Measure.measurePreserving_inv · cited by 2Measure.measurePreserving…MeasureTheory.integral_inv_eq_self · cited by 1MeasureTheory.integral_in…MeasureTheory.Integrable.comp_inv · cited by 1Integrable.comp_invMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.map · cited by 858Measure.mapMeasureTheory.Measure.IsInvInvariant · cited by 24Measure.IsInvInvariantMeasureTheory.Measure.IsInvInvariant.inv_eq_self · cited by 2IsInvInvariant.inv_eq_selfMeasure.map_inv_eq_selfCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.