Theorems · Theorem · probability

ProbabilityTheory.Kernel.iIndep.precomp

∀ {α : Type u_1} {Ω : Type u_2} {ι : Type u_3} {_mα : MeasurableSpace α} {m : ι → MeasurableSpace Ω}
  {_mΩ : MeasurableSpace Ω} {κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α} {ι' : Type u_5}
  {g : ι' → ι},
  Function.Injective g → ProbabilityTheory.Kernel.iIndep m κ μ → ProbabilityTheory.Kernel.iIndep (m ∘ g) κ μ

Defined in: Mathlib.Probability.Independence.Kernel.Indep
Cited by: 4 results in Mathlib
Foundations: Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites5

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

MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
ProbabilityTheory.Kernelstatement and proof · cited by 1,281
ProbabilityTheory.Kernel.iIndepstatement and proof · cited by 33
ProbabilityTheory.Kernel.iIndepSets.precompproof · cited by 4

Cited by4

Results whose statement or proof uses this declaration.

ProbabilityTheory.Kernel.iIndepSet.precompproof · cited by 2
ProbabilityTheory.Kernel.iIndepFun.precompproof · cited by 2
ProbabilityTheory.Kernel.iIndep_precomp_of_bijectiveproof · cited by 1
ProbabilityTheory.iIndep.precompproof · cited by 0