Theorems · Theorem · probability
ProbabilityTheory.Kernel.iIndepSets.indepSets
∀ {α : Type u_1} {Ω : Type u_2} {ι : Type u_3} {_mα : MeasurableSpace α} {s : ι → Set (Set Ω)} {_mΩ : MeasurableSpace Ω}
{κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α},
ProbabilityTheory.Kernel.iIndepSets s κ μ → ∀ {i j : ι}, i ≠ j → ProbabilityTheory.Kernel.IndepSets (s i) (s j) κ μ- Cited by
- 3 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Finset.prodproof · cited by 2,356
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- Set.iInterproof · cited by 1,084
- Finset.mem_singletonproof · cited by 103
- Finset.mem_insertproof · cited by 44
- ProbabilityTheory.Kernel.IndepSetsstatement · cited by 27
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.iIndep.indepproof · cited by 3
- ProbabilityTheory.iCondIndepSets.condIndepSetsproof · cited by 0
- ProbabilityTheory.iIndepSets.indepSetsproof · cited by 0