Theorems · Theorem · measure theory
Real.volume_Ico
∀ {a b : ℝ}, MeasureTheory.volume (Set.Ico a b) = ENNReal.ofReal (b - a)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 245 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 25,697
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- ENNReal.ofRealstatement and proof · cited by 863
- Set.Icostatement and proof · cited by 799
- StieltjesFunction.idproof · cited by 8
- StieltjesFunction.id_leftLimproof · cited by 4
- Real.volume_valproof · cited by 4
- StieltjesFunction.measure_Icoproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasisproof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.setLIntegral_paramSet_expproof · cited by 1
- ZSpan.volume_fundamentalDomainproof · cited by 1
- Real.volume_real_Icoproof · cited by 1
- unitInterval.volume_Icoproof · cited by 0
- unitInterval.volume_Iioproof · cited by 0