Theorems · Theorem · measure theory
Real.volume_uIoc
∀ {a b : ℝ}, MeasureTheory.volume (Set.uIoc a b) = ENNReal.ofReal |b - a|- Cited by
- 2 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.
Cites11
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
- absstatement and proof · cited by 1,814
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- ENNReal.ofRealstatement and proof · cited by 863
- Set.uIocstatement · cited by 182
- Real.volume_Iocproof · cited by 11
- max_sub_min_eq_absproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.mahlerMeasure_le_sqrt_sum_sq_norm_coeffproof · cited by 1
- exists_eq_interval_averageproof · cited by 0