Theorems · Definition · measure theory
MeasureTheory.Measure.toENNRealVectorMeasure
{α : Type u_1} → {m : MeasurableSpace α} → MeasureTheory.Measure α → MeasureTheory.VectorMeasure α ENNRealA measure is a vector measure over ℝ≥0∞.
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasurableSetproof · cited by 3,075
- Disjointproof · cited by 2,201
- Function.onFunproof · cited by 570
- Pairwiseproof · cited by 516
- MeasureTheory.VectorMeasurestatement · cited by 451
Cited by20
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.toENNRealVectorMeasure_apply_measurablestatement · cited by 6
- MeasureTheory.VectorMeasure.ennrealVariationproof · cited by 4
- MeasureTheory.SignedMeasure.eq_singularPartstatement and proof · cited by 3
- MeasureTheory.VectorMeasure.equivMeasureproof · cited by 3
- MeasureTheory.SignedMeasure.withDensityᵥ_rnDeriv_eqstatement and proof · cited by 2
- MeasureTheory.VectorMeasure.ennrealToMeasure_toENNRealVectorMeasurestatement · cited by 2
- MeasureTheory.Measure.withDensityᵥ_absolutelyContinuousstatement and proof · cited by 1
- MeasureTheory.SignedMeasure.haveLebesgueDecomposition_mkstatement and proof · cited by 1
- MeasureTheory.SignedMeasure.jordanDecomposition_add_withDensity_mutuallySingularstatement and proof · cited by 1
- MeasureTheory.SignedMeasure.mutuallySingular_singularPartstatement and proof · cited by 1
- MeasureTheory.Measure.toENNRealVectorMeasure_ennrealToMeasurestatement · cited by 1
- MeasureTheory.Integrable.withDensityᵥ_trim_absolutelyContinuousstatement and proof · cited by 1