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Theorems · Theorem · Lie groups

MeasureTheory.Measure.measurePreserving_sub_left

∀ {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
3 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.Integrable.comp_sub_left · cited by 2Integrable.comp_sub_leftMeasureTheory.Measure.map_sub_left_eq_self · cited by 1Measure.map_sub_left_eq_s…unitInterval.measurePreserving_symm · cited by 0unitInterval.measurePrese…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.Measuresub_eq_add_neg · cited by 1023sub_eq_add_negMeasureTheory.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_sub…CITED BYCITES

Cites12

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

Cited by3

Results whose statement or proof uses this declaration.