Mathlib Map

Theorems · Theorem · probability

MeasureTheory.AEStronglyMeasurable.comp_snd_map_prod_id

∀ {Ω : Type u_1} {F : Type u_2} {m mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {f : Ω → F}
  [inst : TopologicalSpace F],
  MeasureTheory.AEStronglyMeasurable f μ →
    MeasureTheory.AEStronglyMeasurable (fun x => f x.2) (MeasureTheory.Measure.map Function.diag μ)
Defined in
Mathlib.Probability.Kernel.Condexp
Cited by
2 results in Mathlib
Foundations
Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ProbabilityTheory.aestronglyMeasurable_integral_condExpKernel · cited by 0ProbabilityTheory.aestron…MeasureTheory.AEStronglyMeasurable.integral_condExpKernel · cited by 0AEStronglyMeasurable.inte…TopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.map · cited by 858Measure.mapMeasureTheory.AEStronglyMeasurable · cited by 755MeasureTheory.AEStronglyM…Function.diag · cited by 34Function.diagMeasurableSpace.prod · cited by 15MeasurableSpace.prodMeasureTheory.AEStronglyMeasurable.comp_snd_map_prodMk · cited by 3AEStronglyMeasurable.comp…AEStronglyMeasurable.comp_snd…CITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.