Theorems · Theorem · probability
ProbabilityTheory.IndepSets.indepSet_of_mem
∀ {Ω : Type u_1} {_mΩ : MeasurableSpace Ω} {s t : Set Ω} (S T : Set (Set Ω)),
s ∈ S →
t ∈ T →
MeasurableSet s →
MeasurableSet t →
∀ (μ : autoParam (MeasureTheory.Measure Ω) ProbabilityTheory.IndepSets.indepSet_of_mem._auto_1)
[MeasureTheory.IsZeroOrProbabilityMeasure μ],
ProbabilityTheory.IndepSets S T μ → ProbabilityTheory.IndepSet s t μ- Defined in
- Mathlib.Probability.Independence.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.Measure.diracproof · cited by 210
- ProbabilityTheory.Kernel.constproof · cited by 93
- MeasureTheory.IsZeroOrProbabilityMeasurestatement and proof · cited by 46
- ProbabilityTheory.IndepSetsstatement and proof · cited by 29
- ProbabilityTheory.IndepSetstatement · cited by 13
- ProbabilityTheory.Kernel.IndepSets.indepSet_of_memproof · cited by 2
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