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Theorems · Theorem · measure theory

MeasureTheory.withDensity_sum

∀ {α : Type u_1} {ι : Type u_2} {m : MeasurableSpace α} (μ : ι → MeasureTheory.Measure α) (f : α → ENNReal),
  (MeasureTheory.Measure.sum μ).withDensity f = MeasureTheory.Measure.sum fun n => (μ n).withDensity f
Defined in
Mathlib.MeasureTheory.Measure.WithDensity
Cited by
3 results in Mathlib
Foundations
Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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ProbabilityTheory.Kernel.withDensity_kernel_sum · cited by 1Kernel.withDensity_kernel…MeasureTheory.count_withDensity' · cited by 0MeasureTheory.count_withD…MeasureTheory.count_withDensity · cited by 0MeasureTheory.count_withD…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealMeasurableSet · cited by 3075MeasurableSetSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…MeasureTheory.Measure.restrict · cited by 1646Measure.restrictMeasureTheory.lintegral · cited by 1152MeasureTheory.lintegraltsum · cited by 1148tsumMeasureTheory.Measure.ext · cited by 308Measure.extMeasureTheory.Measure.withDensity · cited by 265Measure.withDensityMeasureTheory.Measure.sum · cited by 121Measure.sumMeasureTheory.withDensity_apply · cited by 73MeasureTheory.withDensity…MeasureTheory.Measure.sum_apply · cited by 50Measure.sum_applyMeasureTheory.withDensity_sumCITED BYCITES

Cites17

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Cited by3

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