Theorems · Theorem · measure theory
MeasureTheory.IsHahnDecomposition.compl
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} {s : Set α},
MeasureTheory.IsHahnDecomposition μ ν s → MeasureTheory.IsHahnDecomposition ν μ sᶜ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Compl.complstatement · cited by 2,925
- MeasureTheory.Measure.restrictproof · cited by 1,646
- compl_complproof · cited by 229
- MeasurableSet.complproof · cited by 172
- MeasureTheory.IsHahnDecompositionstatement and proof · cited by 10
- MeasureTheory.IsHahnDecomposition.measurableSetproof · cited by 6
- MeasureTheory.IsHahnDecomposition.le_onproof · cited by 4
- MeasureTheory.IsHahnDecomposition.ge_on_complproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.sub_toSignedMeasure_eq_toSignedMeasure_subproof · cited by 0
- MeasureTheory.Measure.mutually_singular_measure_subproof · cited by 0