Theorems · Theorem · measure theory
MeasureTheory.Measure.variation_toSignedMeasure
∀ {X : Type u_1} {mX : MeasurableSpace X} {μ : MeasureTheory.Measure X} [inst : MeasureTheory.IsFiniteMeasure μ],
MeasureTheory.VectorMeasure.variation μ.toSignedMeasure = μ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasurableSetproof · cited by 3,075
- le_antisymmproof · cited by 2,068
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- le_transproof · cited by 985
- ENorm.enormproof · cited by 715
- MeasureTheory.Measure.realproof · cited by 530
- MeasureTheory.VectorMeasure.variationstatement · cited by 125
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.integral_toSignedMeasureproof · cited by 1
- MeasureTheory.Measure.variation_withDensityᵥproof · cited by 0