Theorems · Theorem · Lie groups
MeasureTheory.eventually_add_left_iff
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd G] (μ : MeasureTheory.Measure G)
[μ.IsAddLeftInvariant] (t : G) {p : G → Prop}, (∀ᵐ (x : G) ∂μ, p (t + x)) ↔ ∀ᵐ (x : G) ∂μ, p x- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 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
- Filterproof · cited by 8,121
- Set.ofPredproof · cited by 6,101
- AddGroupstatement and proof · cited by 4,410
- Filter.Eventuallystatement and proof · cited by 3,134
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.mapproof · cited by 819
- MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
- MeasurableAddstatement and proof · cited by 78
- MeasureTheory.map_add_left_aeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.convolution_neg_of_neg_eqproof · cited by 1