Theorems · Definition · measure theory
MeasureTheory.MeasureSpace.volume
{α : Type u_6} → [self : MeasureTheory.MeasureSpace α] → MeasureTheory.Measure αvolume is the canonical measure on α.
- Cited by
- 1,323 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 5 definitions · uses no axioms
- Assumes
- MeasureTheory.MeasureSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasureTheory.Measurestatement · cited by 10,939
- MeasureTheory.MeasureSpacestatement and proof · cited by 51
Cited by1,367
Results whose statement or proof uses this declaration.
- Real.circleAverageproof · cited by 106
- CircleIntegrableproof · cited by 86
- ProbabilityTheory.gaussianRealproof · cited by 77
- circleIntegralproof · cited by 60
- intervalIntegral.integral_conststatement · cited by 33
- mellinproof · cited by 33
- CurveIntegrableproof · cited by 26
- MeasureTheory.Measure.euclideanHausdorffMeasureproof · cited by 21
- NumberField.mixedEmbedding.minkowskiBoundproof · cited by 21
- NumberField.Units.regulatorproof · cited by 19
- Real.volume_Iccstatement · cited by 18
- Real.volume_Ioostatement · cited by 17
Showing the 200 most cited of 1,367.