Theorems · Theorem · Lie groups
MeasureTheory.Measure.map_add_right_neg_eq_self
∀ {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.Measure.map (fun t => -(g + t)) μ = μ- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.mapstatement · cited by 858
- SubtractionMonoidstatement and proof · cited by 208
- MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
- MeasurableNegstatement and proof · cited by 130
- MeasurableAddstatement and proof · cited by 78
- MeasureTheory.MeasurePreserving.map_eqproof · cited by 72
- MeasureTheory.Measure.IsNegInvariantstatement and proof · cited by 42
- MeasureTheory.Measure.measurePreserving_add_right_negproof · cited by 1
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