Theorems · Definition · measure theory

MeasureTheory.SignedMeasure.HaveLebesgueDecomposition.casesOn

{α : Type u_1} →
  {m : MeasurableSpace α} →
    {s : MeasureTheory.SignedMeasure α} →
      {μ : MeasureTheory.Measure α} →
        {motive : s.HaveLebesgueDecomposition μ → Sort u} →
          (t : s.HaveLebesgueDecomposition μ) →
            ((posPart : s.toJordanDecomposition.posPart.HaveLebesgueDecomposition μ) →
                (negPart : s.toJordanDecomposition.negPart.HaveLebesgueDecomposition μ) → motive ⋯) →
              motive t

Defined in: Mathlib.MeasureTheory.VectorMeasure.Decomposition.Lebesgue
Cited by: 0 results in Mathlib
Foundations: Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

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MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
MeasureTheory.SignedMeasurestatement and proof · cited by 108
MeasureTheory.Measure.HaveLebesgueDecompositionstatement and proof · cited by 92
MeasureTheory.JordanDecomposition.negPartstatement and proof · cited by 44
MeasureTheory.JordanDecomposition.posPartstatement and proof · cited by 43
MeasureTheory.SignedMeasure.toJordanDecompositionstatement and proof · cited by 34
MeasureTheory.SignedMeasure.HaveLebesgueDecompositionstatement and proof · cited by 10

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