Theorems · Theorem · probability
ProbabilityTheory.iIndep.indep
∀ {Ω : Type u_1} {ι : Type u_2} {m : ι → MeasurableSpace Ω} {_mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω},
ProbabilityTheory.iIndep m μ → ∀ {i j : ι}, i ≠ j → ProbabilityTheory.Indep (m i) (m j) μ- Defined in
- Mathlib.Probability.Independence.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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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.Indepstatement · cited by 43
- ProbabilityTheory.iIndepstatement and proof · cited by 30
- ProbabilityTheory.Kernel.iIndep.indepproof · cited by 3
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