Theorems · Theorem · probability
ProbabilityTheory.Kernel.bound_lt_top
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (κ : ProbabilityTheory.Kernel α β)
[h : ProbabilityTheory.IsFiniteKernel κ], κ.bound < ⊤- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 4 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Set.univproof · cited by 3,945
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- lt_of_le_of_ltproof · cited by 432
- ProbabilityTheory.IsFiniteKernelstatement and proof · cited by 178
- ProbabilityTheory.Kernel.boundstatement · cited by 17
- ProbabilityTheory.IsFiniteKernel.exists_univ_leproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.bound_ne_topproof · cited by 1
- ProbabilityTheory.Kernel.isFiniteKernel_withDensity_of_boundedproof · cited by 0
- ProbabilityTheory.bayesRisk_lt_topproof · cited by 0
- ProbabilityTheory.isFiniteKernel_of_leproof · cited by 0