Theorems · Theorem · measure theory
Real.volume_closedEBall
∀ (a : ℝ) (r : ENNReal), MeasureTheory.volume (Metric.closedEBall a r) = 2 * r
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 247 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealproof · cited by 4,310
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- ENNReal.ofNNRealproof · cited by 1,279
- NNReal.toRealproof · cited by 1,260
- eq_or_neproof · cited by 1,117
- ENNReal.ofRealproof · cited by 863
Cited by1
Results whose statement or proof uses this declaration.
- Real.volume_emetric_closedBallproof · cited by 0