Theorems · Theorem · probability

ProbabilityTheory.Kernel.iIndepSet.of_precomp

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

Defined in: Mathlib.Probability.Independence.Kernel.Indep
Cited by: 2 results in Mathlib
Foundations: Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound

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

Setstatement and proof · cited by 53,352
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.iIndepSetstatement and proof · cited by 16
ProbabilityTheory.Kernel.iIndep.of_precompproof · cited by 4

Cited by2

Results whose statement or proof uses this declaration.

ProbabilityTheory.Kernel.iIndepSet_precomp_of_bijectiveproof · cited by 1
ProbabilityTheory.iIndepSet.of_precompproof · cited by 0