Theorems · Theorem · probability
ProbabilityTheory.IsFiniteKernel.exists_univ_le
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {κ : ProbabilityTheory.Kernel α β}
[self : ProbabilityTheory.IsFiniteKernel κ], ∃ C < ⊤, ∀ (a : α), (κ a) Set.univ ≤ C- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- Set.univstatement · cited by 3,945
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- ProbabilityTheory.IsFiniteKernelstatement and proof · cited by 178
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.bound_lt_topproof · cited by 4