Theorems · Theorem · probability
ProbabilityTheory.iIndepSets.isProbabilityMeasure
∀ {Ω : Type u_1} {ι : Type u_2} {π : ι → Set (Set Ω)} {x : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω},
ProbabilityTheory.iIndepSets π μ → MeasureTheory.IsProbabilityMeasure μ- Defined in
- Mathlib.Probability.Independence.Basic
- Cited by
- 1 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.
Cites15
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
- Set.univproof · cited by 3,945
- Filter.Eventuallyproof · cited by 3,134
- pow_zeroproof · cited by 1,094
- Set.iInterproof · cited by 1,084
- MeasureTheory.IsProbabilityMeasurestatement · cited by 392
- Set.iInter_congr_Propproof · cited by 170
- Finset.prod_constproof · cited by 154
- MeasureTheory.ae_dirac_eqproof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.iIndep.isProbabilityMeasureproof · cited by 1