Theorems · Theorem · measure theory
MeasureTheory.SignedMeasure.totalVariation_eq_variation
∀ {X : Type u_1} {mX : MeasurableSpace X} (μ : MeasureTheory.SignedMeasure X),
μ.totalVariation = MeasureTheory.VectorMeasure.variation μThe Hahn–Jordan-based totalVariation agrees with the supremum-based variation.
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- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
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