Theorems · Theorem · Lie groups
MeasureTheory.map_mul_right_eq_self
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Mul G] (μ : MeasureTheory.Measure G) [μ.IsMulRightInvariant]
(g : G), MeasureTheory.Measure.map (fun x => x * g) μ = μ- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 197 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.IsMulRightInvariantstatement and proof · cited by 42
- MeasureTheory.Measure.IsMulRightInvariant.map_mul_right_eq_selfproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_mul_right_eq_selfproof · cited by 3
- MeasureTheory.measurePreserving_prod_mul_rightproof · cited by 2
- MeasureTheory.measurePreserving_mul_rightproof · cited by 2
- MeasureTheory.lintegral_mul_right_eq_selfproof · cited by 1
- MeasureTheory.map_div_right_eq_selfproof · cited by 1
- MeasureTheory.Integrable.comp_mul_rightproof · cited by 1
- MeasureTheory.map_mul_right_aeproof · cited by 1
- MeasureTheory.measure_preimage_mul_rightproof · cited by 0