Theorems · Theorem · measure theory
Real.volume_emetric_closedBall
Deprecated since 2026-01-24Use Real.volume_closedEBall instead.
∀ (a : ℝ) (r : ENNReal), MeasureTheory.volume (Metric.closedEBall a r) = 2 * r
Alias of Real.volume_closedEBall.
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- 0 results in Mathlib
- Foundations
- Depth 248 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- Metric.closedEBallstatement · cited by 107
- Real.volume_closedEBallproof · cited by 1
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