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Theorems · Theorem · probability

ProbabilityTheory.Kernel.indepSet_empty_left

∀ {α : Type u_1} {Ω : Type u_2} {_mα : MeasurableSpace α} {_mΩ : MeasurableSpace Ω} {κ : ProbabilityTheory.Kernel α Ω}
  {μ : MeasureTheory.Measure α} [ProbabilityTheory.IsZeroOrMarkovKernel κ] (s : Set Ω),
  ProbabilityTheory.Kernel.IndepSet ∅ 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
Assumes
ProbabilityTheory.IsZeroOrMarkovKernel
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ProbabilityTheory.condIndepSet_empty_left · cited by 0ProbabilityTheory.condInd…ProbabilityTheory.indepSet_empty_left · cited by 0ProbabilityTheory.indepSe…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.IsZeroOrMarkovKernel · cited by 32ProbabilityTheory.IsZeroO…ProbabilityTheory.Kernel.IndepSet · cited by 18Kernel.IndepSetProbabilityTheory.Kernel.Indep.symm · cited by 5Indep.symmProbabilityTheory.Kernel.indepSet_empty_right · cited by 3Kernel.indepSet_empty_rig…Kernel.indepSet_empty_leftCITED BYCITES

Cites8

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Cited by2

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