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Theorems · Theorem · probability

ProbabilityTheory.Kernel.indep_bot_left

∀ {α : Type u_1} {Ω : Type u_2} {_mα : MeasurableSpace α} (m' : MeasurableSpace Ω) {_mΩ : MeasurableSpace Ω}
  {κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α} [ProbabilityTheory.IsZeroOrMarkovKernel κ],
  ProbabilityTheory.Kernel.Indep ⊥ m' κ μ
Defined in
Mathlib.Probability.Independence.Kernel.Indep
Cited by
1 results in Mathlib
Foundations
Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ProbabilityTheory.IsZeroOrMarkovKernel
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ProbabilityTheory.Kernel.indepFun_const_left · cited by 3Kernel.indepFun_const_leftMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureBot.bot · cited by 4720Bot.botProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.Kernel.Indep · cited by 42Kernel.IndepProbabilityTheory.IsZeroOrMarkovKernel · cited by 32ProbabilityTheory.IsZeroO…ProbabilityTheory.Kernel.indep_bot_right · cited by 5Kernel.indep_bot_rightProbabilityTheory.Kernel.Indep.symm · cited by 5Indep.symmKernel.indep_bot_leftCITED BYCITES

Cites8

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Cited by1

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