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Theorems · Theorem · measure theory

MeasureTheory.Measure.jordanDecompositionOfToSignedMeasureSub_posPart

∀ {X : Type u_1} {mX : MeasurableSpace X} {μ ν : MeasureTheory.Measure X} [inst : MeasureTheory.IsFiniteMeasure μ]
  [inst_1 : MeasureTheory.IsFiniteMeasure ν], (μ.jordanDecompositionOfToSignedMeasureSub ν).posPart = μ - ν
Defined in
Mathlib.MeasureTheory.VectorMeasure.Decomposition.JordanSub
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Foundations
Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.IsFiniteMeasureMeasureTheory.IsFiniteMeasure
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MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.IsFiniteMeasure · cited by 1078MeasureTheory.IsFiniteMea…MeasureTheory.JordanDecomposition.posPart · cited by 43JordanDecomposition.posPa…MeasureTheory.Measure.jordanDecompositionOfToSignedMeasureSub · cited by 5Measure.jordanDecompositi…Measure.jordanDecompositionOf…CITED BYCITES

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