Theorems · Theorem · probability
ProbabilityTheory.Kernel.compProd_apply_univ_le
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
{mγ : MeasurableSpace γ} (κ : ProbabilityTheory.Kernel α β) (η : ProbabilityTheory.Kernel (α × β) γ)
[ProbabilityTheory.IsFiniteKernel η] (a : α), ((κ.compProd η) a) Set.univ ≤ (κ a) Set.univ * η.bound- Cited by
- 0 results in Mathlib
- Foundations
- Depth 227 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.univstatement and proof · cited by 3,945
- mul_commproof · cited by 2,262
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- zero_applyproof · cited by 251
- ProbabilityTheory.IsSFiniteKernelproof · cited by 248
- ProbabilityTheory.IsFiniteKernelstatement and proof · cited by 178
- MeasurableSet.univproof · cited by 178
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