Theorems · Theorem · Lie groups
MeasureTheory.measurePreserving_mul_left
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Mul G] [MeasurableMul G] (μ : MeasureTheory.Measure G)
[μ.IsMulLeftInvariant] (g : G), MeasureTheory.MeasurePreserving (fun x => g * x) μ μ- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 4 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.
Cites7
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.MeasurePreservingstatement · cited by 259
- MeasureTheory.Measure.IsMulLeftInvariantstatement and proof · cited by 118
- MeasurableMulstatement and proof · cited by 71
- MeasurableMul.measurable_const_mulproof · cited by 12
- MeasureTheory.map_mul_left_eq_selfproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.measurePreserving_div_leftproof · cited by 2
- MeasureTheory.quasiMeasurePreserving_div_leftproof · cited by 1
- MeasureTheory.Measure.measurePreserving_mul_right_invproof · cited by 1
- MeasureTheory.MeasurePreserving.mul_leftproof · cited by 0