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Theorems · Theorem · probability

ProbabilityTheory.Kernel.sum_const

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} [inst : Countable ι]
  (μ : ι → MeasureTheory.Measure β),
  (ProbabilityTheory.Kernel.sum fun n => ProbabilityTheory.Kernel.const α (μ n)) =
    ProbabilityTheory.Kernel.const α (MeasureTheory.Measure.sum μ)
Defined in
Mathlib.Probability.Kernel.Basic
Cited by
1 results in Mathlib
Foundations
Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Countable
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Around this declaration

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

MeasureTheory.Measure.compProd_sum_left · cited by 0Measure.compProd_sum_leftMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelCountable · cited by 633CountableMeasureTheory.Measure.sum · cited by 121Measure.sumProbabilityTheory.Kernel.const · cited by 93Kernel.constProbabilityTheory.Kernel.sum · cited by 31Kernel.sumKernel.sum_constCITED BYCITES

Cites7

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Cited by1

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