Theorems · Theorem · measure theory
Real.volume_real_Icc_of_le
∀ {a b : ℝ}, a ≤ b → MeasureTheory.volume.real (Set.Icc a b) = b - a- Cited by
- 2 results in Mathlib
- Foundations
- Depth 247 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Set.Iccstatement · cited by 1,702
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- MeasureTheory.Measure.realstatement · cited by 530
- sup_of_le_leftproof · cited by 218
- Real.volume_real_Iccproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- intervalIntegral.sub_le_integral_of_hasDeriv_right_of_le_Icoproof · cited by 1
- Real.integrable_of_summable_norm_Iccproof · cited by 1