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Theorems · Theorem · probability

ProbabilityTheory.Kernel.bound_ne_top

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (κ : ProbabilityTheory.Kernel α β)
  [ProbabilityTheory.IsFiniteKernel κ], κ.bound ≠ ⊤
Defined in
Mathlib.Probability.Kernel.Defs
Cited by
1 results in Mathlib
Foundations
Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ProbabilityTheory.IsFiniteKernel
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Around this declaration

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

ProbabilityTheory.Kernel.IsFiniteKernel.integrable · cited by 1IsFiniteKernel.integrableMeasurableSpace · cited by 13106MeasurableSpaceENNReal · cited by 9879ENNRealTop.top · cited by 9680Top.topProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelLT.lt.ne · cited by 872lt.neProbabilityTheory.IsFiniteKernel · cited by 178ProbabilityTheory.IsFinit…ProbabilityTheory.Kernel.bound · cited by 17Kernel.boundProbabilityTheory.Kernel.bound_lt_top · cited by 4Kernel.bound_lt_topKernel.bound_ne_topCITED BYCITES

Cites8

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Cited by1

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