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Theorems · Theorem · measure theory

MeasureTheory.Measure.toENNRealVectorMeasure_apply_measurable

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {i : Set α},
  MeasurableSet i → μ.toENNRealVectorMeasure i = μ i
Defined in
Mathlib.MeasureTheory.VectorMeasure.Basic
Cited by
6 results in Mathlib
Foundations
Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.VectorMeasure.ennrealToMeasure_toENNRealVectorMeasure · cited by 2VectorMeasure.ennrealToMe…MeasureTheory.Measure.withDensityᵥ_absolutelyContinuous · cited by 1Measure.withDensityᵥ_abso…MeasureTheory.VectorMeasure.ennrealVariation_apply · cited by 1VectorMeasure.ennrealVari…MeasureTheory.Measure.toENNRealVectorMeasure_ennrealToMeasure · cited by 1Measure.toENNRealVectorMe…MeasureTheory.Integrable.withDensityᵥ_trim_absolutelyContinuous · cited by 1Integrable.withDensityᵥ_t…MeasureTheory.Measure.toENNRealVectorMeasure_add · cited by 0Measure.toENNRealVectorMe…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealMeasurableSet · cited by 3075MeasurableSetMeasureTheory.VectorMeasure · cited by 451MeasureTheory.VectorMeasu…MeasureTheory.Measure.toENNRealVectorMeasure · cited by 18Measure.toENNRealVectorMe…Measure.toENNRealVectorMeasur…CITED BYCITES

Cites8

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Cited by6

Results whose statement or proof uses this declaration.