Theorems · Theorem · measure theory
MeasureTheory.JordanDecomposition.toSignedMeasure_injective
∀ {α : Type u_1} [inst : MeasurableSpace α], Function.Injective MeasureTheory.JordanDecomposition.toSignedMeasureThe Jordan decomposition of a signed measure is unique.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites39
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
- Realproof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealproof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- Compl.complproof · cited by 2,925
- zero_addproof · cited by 2,366
- Disjointproof · cited by 2,201
- sub_zeroproof · cited by 938
- ENNReal.toRealproof · cited by 859
- MeasureTheory.Measure.realproof · cited by 530
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.toJordanDecomposition_negproof · cited by 3
- MeasureTheory.JordanDecomposition.toJordanDecomposition_toSignedMeasureproof · cited by 1
- MeasureTheory.SignedMeasure.toJordanDecomposition_smulproof · cited by 1
- MeasureTheory.SignedMeasure.singularPart_totalVariationproof · cited by 1
- MeasureTheory.SignedMeasure.toJordanDecomposition_zeroproof · cited by 1
- MeasureTheory.Measure.toJordanDecomposition_toSignedMeasure_subproof · cited by 0