Theorems · Theorem · Lie groups
MeasureTheory.measurePreserving_add_left
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Add G] [MeasurableAdd G] (μ : MeasureTheory.Measure G)
[μ.IsAddLeftInvariant] (g : G), MeasureTheory.MeasurePreserving (fun x => g + x) μ μ- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 5 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.IsAddLeftInvariantstatement and proof · cited by 148
- MeasurableAddstatement and proof · cited by 78
- MeasurableAdd.measurable_const_addproof · cited by 11
- MeasureTheory.map_add_left_eq_selfproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.measurePreserving_sub_leftproof · cited by 3
- AddCircle.ergodic_zsmul_addproof · cited by 1
- MeasureTheory.Measure.measurePreserving_add_right_negproof · cited by 1
- MeasureTheory.quasiMeasurePreserving_sub_leftproof · cited by 1
- MeasureTheory.MeasurePreserving.add_leftproof · cited by 0