Theorems · Theorem · measure theory
MeasureTheory.Measure.addHaar_ball_center
∀ {E : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : MeasurableSpace E] [BorelSpace E] (μ : MeasureTheory.Measure E)
[μ.IsAddHaarMeasure] (x : E) (r : ℝ), μ (Metric.ball x r) = μ (Metric.ball 0 r)- Cited by
- 2 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.
Cites14
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 and proof · 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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.preimageproof · cited by 4,946
- BorelSpacestatement and proof · cited by 1,602
- sub_selfproof · cited by 996
- Metric.ballstatement and proof · cited by 735
- MeasureTheory.Measure.IsAddHaarMeasurestatement and proof · cited by 255
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.addHaar_ball_mul_of_posproof · cited by 2
- MeasureTheory.Measure.addHaar_real_ball_centerproof · cited by 0