Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.ennrealToMeasure_apply
∀ {α : Type u_1} {m : MeasurableSpace α} {v : MeasureTheory.VectorMeasure α ENNReal} {s : Set α},
MeasurableSet s → v.ennrealToMeasure s = v s- Cited by
- 11 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.VectorMeasurestatement and proof · cited by 451
- MeasureTheory.VectorMeasure.ennrealToMeasurestatement · cited by 13
- MeasureTheory.Measure.ofMeasurable_applyproof · cited by 5
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.enorm_measure_le_variationproof · cited by 15
- MeasureTheory.VectorMeasure.variation_apply_le_of_forall_enorm_leproof · cited by 3
- MeasureTheory.VectorMeasure.exists_variation_le_add'proof · cited by 2
- MeasureTheory.VectorMeasure.ennrealToMeasure_toENNRealVectorMeasureproof · cited by 2
- MeasureTheory.SignedMeasure.mutuallySingular_ennreal_iffproof · cited by 2
- MeasureTheory.VectorMeasure.exists_lt_sum_of_lt_variationproof · cited by 1
- MeasureTheory.SignedMeasure.absolutelyContinuous_ennreal_iffproof · cited by 1
- MeasureTheory.VectorMeasure.le_variationproof · cited by 1
- MeasureTheory.VectorMeasure.variation_eq_ennrealToMeasureproof · cited by 1
- MeasureTheory.VectorMeasure.AbsolutelyContinuous.ennrealToMeasureproof · cited by 1
- MeasureTheory.Measure.toENNRealVectorMeasure_ennrealToMeasureproof · cited by 1