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Theorems · Theorem · probability

ProbabilityTheory.IsSFiniteKernel.tsum_finite

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {κ : ProbabilityTheory.Kernel α β}
  [self : ProbabilityTheory.IsSFiniteKernel κ],
  ∃ κs, (∀ (n : ℕ), ProbabilityTheory.IsFiniteKernel (κs n)) ∧ κ = ProbabilityTheory.Kernel.sum κs
Defined in
Mathlib.Probability.Kernel.Defs
Cited by
1 results in Mathlib
Foundations
Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ProbabilityTheory.IsSFiniteKernel
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Around this declaration

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

ProbabilityTheory.Kernel.seq · cited by 12Kernel.seqProbabilityTheory.Kernel.kernel_sum_seq · cited by 6Kernel.kernel_sum_seqMeasurableSpace · cited by 13106MeasurableSpaceProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.IsSFiniteKernel · cited by 248ProbabilityTheory.IsSFini…ProbabilityTheory.IsFiniteKernel · cited by 178ProbabilityTheory.IsFinit…ProbabilityTheory.Kernel.sum · cited by 31Kernel.sumIsSFiniteKernel.tsum_finiteCITED BYCITES

Cites5

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Cited by2

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