Mathlib Map

Theorems · Theorem · probability

ProbabilityTheory.iIndepFun.of_subsingleton

∀ {Ω : Type u_1} {ι : Type u_2} {x : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} [Subsingleton ι]
  {β : ι → Type u_7} {m : (i : ι) → MeasurableSpace (β i)} {f : (i : ι) → Ω → β i}
  [MeasureTheory.IsProbabilityMeasure μ], ProbabilityTheory.iIndepFun f μ
Defined in
Mathlib.Probability.Independence.Basic
Cited by
1 results in Mathlib
Foundations
Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SubsingletonMeasureTheory.IsProbabilityMeasure
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ProbabilityTheory.HasIndepIncrements.nat · cited by 2HasIndepIncrements.natMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.IsProbabilityMeasure · cited by 392MeasureTheory.IsProbabili…ProbabilityTheory.iIndepFun · cited by 138ProbabilityTheory.iIndepF…ProbabilityTheory.Kernel.iIndepFun.of_subsingleton · cited by 2iIndepFun.of_subsingletoniIndepFun.of_subsingletonCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.