Theorems · Theorem · probability
ProbabilityTheory.Kernel.indepSet_empty_right
∀ {α : Type u_1} {Ω : Type u_2} {_mα : MeasurableSpace α} {_mΩ : MeasurableSpace Ω} {κ : ProbabilityTheory.Kernel α Ω}
{μ : MeasureTheory.Measure α} [ProbabilityTheory.IsZeroOrMarkovKernel κ] (s : Set Ω),
ProbabilityTheory.Kernel.IndepSet s ∅ κ μ- Cited by
- 3 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasurableSpace.generateFromproof · cited by 172
- ProbabilityTheory.Kernel.Indepproof · cited by 42
- ProbabilityTheory.IsZeroOrMarkovKernelstatement and proof · cited by 32
- ProbabilityTheory.Kernel.IndepSetstatement · cited by 18
- ProbabilityTheory.Kernel.indep_bot_rightproof · cited by 5
- MeasurableSpace.generateFrom_singleton_emptyproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.indepSet_empty_leftproof · cited by 2
- ProbabilityTheory.indepSet_empty_rightproof · cited by 0
- ProbabilityTheory.condIndepSet_empty_rightproof · cited by 0