Theorems · Theorem · probability
ProbabilityTheory.Kernel.isSFiniteKernel_sum_of_denumerable
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} [inst : Denumerable ι]
{κs : ι → ProbabilityTheory.Kernel α β},
(∀ (n : ι), ProbabilityTheory.IsSFiniteKernel (κs n)) →
ProbabilityTheory.IsSFiniteKernel (ProbabilityTheory.Kernel.sum κs)- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Denumerable
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- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
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- MeasureTheory.Measure.extproof · cited by 308
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