Theorems · Theorem · measure theory
Real.volume_real_ball
∀ {a r : ℝ}, 0 ≤ r → MeasureTheory.volume.real (Metric.ball a r) = 2 * r- Cited by
- 0 results in Mathlib
- Foundations
- Depth 247 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- ENNReal.ofRealproof · cited by 863
- ENNReal.toRealproof · cited by 859
- Metric.ballstatement · cited by 735
- MeasureTheory.Measure.realstatement · cited by 530
- ENNReal.toReal_ofRealproof · cited by 82
- ENNReal.toReal_mulproof · cited by 57
- ENNReal.ofReal_mulproof · cited by 44
- ENNReal.toReal_ofNatproof · cited by 23
- ENNReal.ofReal_ofNatproof · cited by 17
- Real.volume_ballproof · cited by 6
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