Theorems · Theorem · measure theory
Real.volume_interval
∀ {a b : ℝ}, MeasureTheory.volume (Set.uIcc a b) = ENNReal.ofReal |b - a|- Cited by
- 1 results in Mathlib
- Foundations
- Depth 246 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 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
- absstatement and proof · cited by 1,814
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- ENNReal.ofRealstatement and proof · cited by 863
- Set.uIccstatement · cited by 393
- Real.volume_Iccproof · cited by 18
- max_sub_min_eq_absproof · cited by 10
- Set.Icc_min_maxproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.volume_real_intervalproof · cited by 0