Theorems · Theorem · Lie groups
MeasureTheory.Measure.map_neg_eq_self
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Neg G] (μ : MeasureTheory.Measure G) [μ.IsNegInvariant],
MeasureTheory.Measure.map Neg.neg μ = μ- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- MeasureTheory.Measure.IsNegInvariantstatement and proof · cited by 42
- MeasureTheory.Measure.IsNegInvariant.neg_eq_selfproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.measurePreserving_negproof · cited by 5
- MeasureTheory.integral_neg_eq_selfproof · cited by 4
- MeasureTheory.IntegrableOn.comp_negproof · cited by 4
- MeasureTheory.lintegral_neg_eq_selfproof · cited by 2
- MeasureTheory.Integrable.comp_negproof · cited by 2
- integral_comp_absproof · cited by 2
- integral_comp_neg_Iicproof · cited by 2