Theorems · Theorem · probability
ProbabilityTheory.Kernel.sum_comap_seq
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {γ : Type u_4}
{mγ : MeasurableSpace γ} {g : γ → α} (κ : ProbabilityTheory.Kernel α β) [inst : ProbabilityTheory.IsSFiniteKernel κ]
(hg : Measurable g), (ProbabilityTheory.Kernel.sum fun n => (κ.seq n).comap g hg) = κ.comap g hg- Cited by
- 0 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measureproof · cited by 10,939
- ENNRealproof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- SummationFilter.unconditionalproof · cited by 2,068
- Measurablestatement and proof · cited by 1,499
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- tsumproof · cited by 1,148
- MeasureTheory.Measure.extproof · cited by 308
- ProbabilityTheory.IsSFiniteKernelstatement and proof · cited by 248
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.