Theorems · Theorem · probability
ProbabilityTheory.Kernel.Indep.symm
∀ {α : Type u_1} {Ω : Type u_2} {_mα : MeasurableSpace α} {m₁ m₂ _mΩ : MeasurableSpace Ω}
{κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α},
ProbabilityTheory.Kernel.Indep m₁ m₂ κ μ → ProbabilityTheory.Kernel.Indep m₂ m₁ κ μ- Cited by
- 5 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- ProbabilityTheory.Kernel.Indepstatement and proof · cited by 42
- ProbabilityTheory.Kernel.IndepSets.symmproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.IndepFun.symmproof · cited by 14
- ProbabilityTheory.Kernel.iIndepSets.iIndepproof · cited by 4
- ProbabilityTheory.Kernel.indepSet_empty_leftproof · cited by 2
- ProbabilityTheory.Kernel.indep_bot_leftproof · cited by 1
- ProbabilityTheory.condIndep_bot_leftproof · cited by 0