Theorems · Theorem · measure theory
MeasureTheory.Measure.addHaar_unitClosedBall_eq_addHaar_unitBall
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : MeasurableSpace E] [BorelSpace E]
[FiniteDimensional ℝ E] (μ : MeasureTheory.Measure E) [μ.IsAddHaarMeasure],
μ (Metric.closedBall 0 1) = μ (Metric.ball 0 1)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 260 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites41
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- one_mulproof · cited by 2,841
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.addHaar_closedBallproof · cited by 3
- MeasureTheory.Measure.addHaar_real_closedBallproof · cited by 0