Theorems · Theorem · probability
ProbabilityTheory.Kernel.measure_le_bound
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (κ : ProbabilityTheory.Kernel α β)
(a : α) (s : Set β), (κ a) s ≤ κ.bound- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.univproof · cited by 3,945
- LE.le.transproof · cited by 3,151
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.measure_monoproof · cited by 338
- Set.subset_univproof · cited by 228
- le_iSupproof · cited by 207
- ProbabilityTheory.Kernel.boundstatement · cited by 17
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.avgRisk_le_mul'proof · cited by 2
- ProbabilityTheory.Kernel.IsFiniteKernel.integrableproof · cited by 1
- ProbabilityTheory.isFiniteKernel_of_leproof · cited by 0
- ProbabilityTheory.Kernel.isFiniteKernel_withDensity_of_boundedproof · cited by 0
- ProbabilityTheory.Kernel.comp_apply_univ_leproof · cited by 0
- ProbabilityTheory.Kernel.compProd_apply_univ_leproof · cited by 0