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Theorems · Theorem · measure theory

Real.volume_real_Icc

∀ {a b : ℝ}, MeasureTheory.volume.real (Set.Icc a b) = max (b - a) 0
Defined in
Mathlib.MeasureTheory.Measure.Lebesgue.Basic
Cited by
2 results in Mathlib
Foundations
Depth 246 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

ProbabilityTheory.BrownianReal.posSemidef_covMatrix · cited by 2BrownianReal.posSemidef_c…Real.volume_real_Icc_of_le · cited by 2Real.volume_real_Icc_of_leReal · cited by 25697RealSet.Icc · cited by 1702Set.IccMeasureTheory.MeasureSpace.volume · cited by 1323MeasureSpace.volumeENNReal.toReal · cited by 859ENNReal.toRealMeasureTheory.Measure.real · cited by 530Measure.realReal.volume_Icc · cited by 18Real.volume_IccReal.volume_real_IccCITED BYCITES

Cites6

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

Cited by2

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