Mathlib Map

Theorems · Theorem · measure theory

Real.volume_val

∀ (s : Set ℝ), MeasureTheory.volume s = StieltjesFunction.id.measure s
Defined in
Mathlib.MeasureTheory.Measure.Lebesgue.Basic
Cited by
4 results in Mathlib
Foundations
Depth 244 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Real.volume_Icc · cited by 18Real.volume_IccReal.volume_Ioo · cited by 17Real.volume_IooReal.volume_Ioc · cited by 11Real.volume_IocReal.volume_Ico · cited by 6Real.volume_IcoDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetReal · cited by 25697RealMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealMeasureTheory.MeasureSpace.volume · cited by 1323MeasureSpace.volumeStieltjesFunction.measure · cited by 48StieltjesFunction.measureStieltjesFunction.id · cited by 8StieltjesFunction.idReal.volume_eq_stieltjes_id · cited by 1Real.volume_eq_stieltjes_…Real.volume_valCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.