Theorems · Theorem · probability
ProbabilityTheory.Kernel.IndepSets.symm
∀ {α : Type u_1} {Ω : Type u_2} {_mα : MeasurableSpace α} {_mΩ : MeasurableSpace Ω} {κ : ProbabilityTheory.Kernel α Ω}
{μ : MeasureTheory.Measure α} {s₁ s₂ : Set (Set Ω)},
ProbabilityTheory.Kernel.IndepSets s₁ s₂ κ μ → ProbabilityTheory.Kernel.IndepSets s₂ s₁ 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.
Cites11
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
- ENNRealproof · cited by 9,879
- mul_commproof · cited by 2,262
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- Set.inter_commproof · cited by 291
- ProbabilityTheory.Kernel.IndepSetsstatement and proof · cited by 27
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.Indep.symmproof · cited by 5
- ProbabilityTheory.CondIndepSets.symmproof · cited by 1
- ProbabilityTheory.IndepSets.symmproof · cited by 1