Theorems · Theorem · probability
ProbabilityTheory.iIndepSets.piiUnionInter_of_notMem
∀ {Ω : Type u_1} {ι : Type u_2} {_mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {π : ι → Set (Set Ω)} {a : ι}
{S : Finset ι}, ProbabilityTheory.iIndepSets π μ → a ∉ S → ProbabilityTheory.IndepSets (piiUnionInter π ↑S) (π a) μ- Defined in
- Mathlib.Probability.Independence.Basic
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- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement and proof · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- SetLike.coestatement · cited by 8,199
- ProbabilityTheory.IndepSetsstatement · cited by 29
- piiUnionInterstatement · cited by 20
- ProbabilityTheory.iIndepSetsstatement and proof · cited by 18
- ProbabilityTheory.Kernel.iIndepSets.piiUnionInter_of_notMemproof · cited by 3
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