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Theorems · Theorem · measure theory

MeasureTheory.Measure.measurable_map

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (f : α → β),
  Measurable f → Measurable fun μ => MeasureTheory.Measure.map f μ
Defined in
Mathlib.MeasureTheory.Measure.GiryMonad
Cited by
3 results in Mathlib
Foundations
Depth 200 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.Measure.measurable_bind' · cited by 1Measure.measurable_bind'MeasureTheory.Measure.join_map_map · cited by 0Measure.join_map_mapProbabilityTheory.Kernel.measurable_trajFun · cited by 0Kernel.measurable_trajFunSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasurableSet · cited by 3075MeasurableSetMeasurable · cited by 1499MeasurableMeasureTheory.Measure.map · cited by 858Measure.mapMeasureTheory.Measure.map_apply · cited by 139Measure.map_applyMeasureTheory.Measure.measurable_coe · cited by 14Measure.measurable_coeMeasureTheory.Measure.measurable_of_measurable_coe · cited by 9Measure.measurable_of_mea…Measure.measurable_mapCITED BYCITES

Cites9

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Cited by3

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