Theorems · Theorem · Lie groups
MeasureTheory.map_add_left_ae
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd G] (μ : MeasureTheory.Measure G)
[μ.IsAddLeftInvariant] (x : G), Filter.map (fun h => x + h) (MeasureTheory.ae μ) = MeasureTheory.ae μ- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Filterstatement · cited by 8,121
- AddGroupstatement and proof · cited by 4,410
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.mapstatement · cited by 819
- MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
- MeasurableAddstatement and proof · cited by 78
- MeasurableEquiv.addLeftproof · cited by 10
- MeasureTheory.map_add_left_eq_selfproof · cited by 9
- MeasurableEquiv.map_aeproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.eventually_add_left_iffproof · cited by 1