Theorems · Definition · measure theory
MeasureTheory.SignedMeasure.toJordanDecompositionEquiv
(α : Type u_2) → [inst : MeasurableSpace α] → MeasureTheory.SignedMeasure α ≃ MeasureTheory.JordanDecomposition α
MeasureTheory.SignedMeasure.toJordanDecomposition and
MeasureTheory.JordanDecomposition.toSignedMeasure form an Equiv.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 194 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- Equivstatement · cited by 8,337
- MeasureTheory.SignedMeasurestatement · cited by 108
- MeasureTheory.JordanDecompositionstatement · cited by 40
- MeasureTheory.SignedMeasure.toJordanDecompositionproof · cited by 34
- MeasureTheory.JordanDecomposition.toSignedMeasureproof · cited by 13
- MeasureTheory.SignedMeasure.toSignedMeasure_toJordanDecompositionproof · cited by 10
- MeasureTheory.JordanDecomposition.toJordanDecomposition_toSignedMeasureproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.toJordanDecompositionEquiv_applystatement and proof · cited by 0
- MeasureTheory.SignedMeasure.toJordanDecompositionEquiv_symm_applystatement and proof · cited by 0