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Theorems · Theorem · Lie groups

MeasureTheory.Measure.measurePreserving_div_left

∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : DivisionMonoid G] [MeasurableMul G] [MeasurableInv G]
  (μ : MeasureTheory.Measure G) [μ.IsInvInvariant] [μ.IsMulLeftInvariant] (g : G),
  MeasureTheory.MeasurePreserving (fun t => g / t) μ μ
Defined in
Mathlib.MeasureTheory.Group.Measure
Cited by
2 results in Mathlib
Foundations
Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceDivisionMonoidMeasurableMulMeasurableInvMeasureTheory.Measure.IsInvInvariantMeasureTheory.Measure.IsMulLeftInvariant
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Around this declaration

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

MeasureTheory.Measure.map_div_left_eq_self · cited by 1Measure.map_div_left_eq_s…MeasureTheory.Integrable.comp_div_left · cited by 1Integrable.comp_div_leftMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.Measurediv_eq_mul_inv · cited by 715div_eq_mul_invMeasureTheory.MeasurePreserving · cited by 259MeasureTheory.MeasurePres…DivisionMonoid · cited by 201DivisionMonoidMeasureTheory.Measure.IsMulLeftInvariant · cited by 118Measure.IsMulLeftInvariantMeasurableInv · cited by 98MeasurableInvMeasurableMul · cited by 71MeasurableMulMeasureTheory.MeasurePreserving.comp · cited by 40MeasurePreserving.compMeasureTheory.Measure.IsInvInvariant · cited by 24Measure.IsInvInvariantMeasureTheory.measurePreserving_mul_left · cited by 4MeasureTheory.measurePres…MeasureTheory.Measure.measurePreserving_inv · cited by 2Measure.measurePreserving…Measure.measurePreserving_div…CITED BYCITES

Cites12

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

Cited by2

Results whose statement or proof uses this declaration.