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Theorems · Theorem · measure theory

MeasureTheory.Measure.map_add

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (μ ν : MeasureTheory.Measure α)
  {f : α → β},
  Measurable f → MeasureTheory.Measure.map f (μ + ν) = MeasureTheory.Measure.map f μ + MeasureTheory.Measure.map f ν
Defined in
Mathlib.MeasureTheory.Measure.Map
Cited by
11 results in Mathlib
Foundations
Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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MeasurableEmbedding.rnDeriv_map · cited by 1MeasurableEmbedding.rnDer…MeasureTheory.FiniteMeasure.map_add · cited by 0FiniteMeasure.map_addMeasurableEmbedding.singularPart_map · cited by 0MeasurableEmbedding.singu…MeasureTheory.Measure.fst_add · cited by 0Measure.fst_addMeasureTheory.Measure.mconv_add · cited by 0Measure.mconv_addMeasureTheory.Measure.snd_add · cited by 0Measure.snd_addMeasureTheory.Measure.add_conv · cited by 0Measure.add_convProbabilityTheory.map_bernoulliMeasure' · cited by 0ProbabilityTheory.map_ber…MeasureTheory.Measure.add_mconv · cited by 0Measure.add_mconvMeasureTheory.MeasurePreserving.add_measure · cited by 0MeasurePreserving.add_mea…MeasureTheory.Measure.conv_add · cited by 0Measure.conv_addDFunLike.coe · cited by 62936DFunLike.coeMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasurable · cited by 1499Measurablemap_add · cited by 964map_addMeasureTheory.Measure.map · cited by 858Measure.mapMeasureTheory.Measure.mapₗ · cited by 9Measure.mapₗMeasureTheory.Measure.mapₗ_apply_of_measurable · cited by 2Measure.mapₗ_apply_of_mea…Measure.map_addCITED BYCITES

Cites8

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Cited by11

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