Mathlib Map

Theorems · Theorem · measure theory

AEMeasurable.singularPart

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {β : Type u_2} {x : MeasurableSpace β}
  {f : α → β}, AEMeasurable f μ → ∀ (ν : MeasureTheory.Measure α), AEMeasurable f (μ.singularPart ν)
Defined in
Mathlib.MeasureTheory.Measure.Decomposition.Lebesgue
Cited by
0 results in Mathlib
Foundations
Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureAEMeasurable · cited by 840AEMeasurableMeasureTheory.Measure.singularPart · cited by 71Measure.singularPartAEMeasurable.mono_measure · cited by 10AEMeasurable.mono_measureMeasureTheory.Measure.singularPart_le · cited by 7Measure.singularPart_leAEMeasurable.singularPartCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.