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Theorems · Theorem · measure theory

MeasureTheory.aemeasurable_dirac

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] [MeasurableSingletonClass α]
  {a : α} {f : α → β}, AEMeasurable f (MeasureTheory.Measure.dirac a)
Defined in
Mathlib.MeasureTheory.Measure.Dirac
Cited by
3 results in Mathlib
Foundations
Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpaceMeasurableSingletonClass
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Around this declaration

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

MeasureTheory.Measure.map_dirac · cited by 7Measure.map_diracProbabilityTheory.variance_dirac · cited by 0ProbabilityTheory.varianc…ProbabilityTheory.map_bernoulliMeasure · cited by 0ProbabilityTheory.map_ber…MeasurableSpace · cited by 13106MeasurableSpaceAEMeasurable · cited by 840AEMeasurableMeasurableSingletonClass · cited by 230MeasurableSingletonClassMeasureTheory.Measure.dirac · cited by 210Measure.diracmeasurable_const · cited by 156measurable_constMeasureTheory.ae_eq_dirac · cited by 5MeasureTheory.ae_eq_diracMeasureTheory.aemeasurable_di…CITED BYCITES

Cites6

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Cited by3

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