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Theorems · Theorem · measure theory

MeasureTheory.FiniteMeasure.testAgainstNN_add

∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [inst_1 : TopologicalSpace Ω] [OpensMeasurableSpace Ω]
  (μ : MeasureTheory.FiniteMeasure Ω) (f₁ f₂ : BoundedContinuousFunction Ω NNReal),
  μ.testAgainstNN (f₁ + f₂) = μ.testAgainstNN f₁ + μ.testAgainstNN f₂
Defined in
Mathlib.MeasureTheory.Measure.FiniteMeasure
Cited by
0 results in Mathlib
Foundations
Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceTopologicalSpaceOpensMeasurableSpace
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Around this declaration

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MeasureTheory.FiniteMeasure.toWeakDualBCNN · cited by 8FiniteMeasure.toWeakDualB…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceNNReal · cited by 4310NNRealENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealOpensMeasurableSpace · cited by 636OpensMeasurableSpaceBoundedContinuousFunction · cited by 511BoundedContinuousFunctionMeasureTheory.FiniteMeasure · cited by 150MeasureTheory.FiniteMeasu…MeasureTheory.FiniteMeasure.testAgainstNN · cited by 27FiniteMeasure.testAgainst…MeasureTheory.lintegral_add_left · cited by 21MeasureTheory.lintegral_a…MeasureTheory.FiniteMeasure.testAgainstNN_coe_eq · cited by 5FiniteMeasure.testAgainst…BoundedContinuousFunction.measurable_coe_ennreal_comp · cited by 2BoundedContinuousFunction…FiniteMeasure.testAgainstNN_a…CITED BYCITES

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