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Theorems · Theorem · Lie groups

MeasureTheory.Measure.measurePreserving_add_right_neg

∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : SubtractionMonoid G] [MeasurableAdd G] [MeasurableNeg G]
  (μ : MeasureTheory.Measure G) [μ.IsNegInvariant] [μ.IsAddLeftInvariant] (g : G),
  MeasureTheory.MeasurePreserving (fun t => -(g + t)) μ μ
Defined in
Mathlib.MeasureTheory.Group.Measure
Cited by
1 results in Mathlib
Foundations
Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceSubtractionMonoidMeasurableAddMeasurableNegMeasureTheory.Measure.IsNegInvariantMeasureTheory.Measure.IsAddLeftInvariant
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Around this declaration

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

MeasureTheory.Measure.map_add_right_neg_eq_self · cited by 0Measure.map_add_right_neg…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.MeasurePreserving · cited by 259MeasureTheory.MeasurePres…SubtractionMonoid · cited by 208SubtractionMonoidMeasureTheory.Measure.IsAddLeftInvariant · cited by 148Measure.IsAddLeftInvariantMeasurableNeg · cited by 130MeasurableNegMeasurableAdd · cited by 78MeasurableAddMeasureTheory.Measure.IsNegInvariant · cited by 42Measure.IsNegInvariantMeasureTheory.MeasurePreserving.comp · cited by 40MeasurePreserving.compMeasureTheory.measurePreserving_add_left · cited by 5MeasureTheory.measurePres…MeasureTheory.Measure.measurePreserving_neg · cited by 5Measure.measurePreserving…Measure.measurePreserving_add…CITED BYCITES

Cites11

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Cited by1

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