Theorems · Theorem · probability
ProbabilityTheory.Kernel.indepSet_congr
∀ {α : Type u_1} {Ω : Type u_2} {_mα : MeasurableSpace α} {_mΩ : MeasurableSpace Ω} {κ η : ProbabilityTheory.Kernel α Ω}
{μ : MeasureTheory.Measure α} {s t : Set Ω},
⇑κ =ᵐ[μ] ⇑η → (ProbabilityTheory.Kernel.IndepSet s t κ μ ↔ ProbabilityTheory.Kernel.IndepSet s t η μ)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 179 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 and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- ProbabilityTheory.Kernel.IndepSetstatement · cited by 18
- ProbabilityTheory.Kernel.indep_congrproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.indepSet.congrproof · cited by 0