Theorems · Theorem · probability
ProbabilityTheory.condVar_of_not_sigmaFinite
∀ {Ω : Type u_1} {m₀ m : MeasurableSpace Ω} {hm : m ≤ m₀} {X : Ω → ℝ} {μ : MeasureTheory.Measure Ω},
¬MeasureTheory.SigmaFinite (μ.trim hm) → ProbabilityTheory.condVar m X μ = 0- Defined in
- Mathlib.Probability.CondVar
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- Foundations
- Depth 296 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.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- MeasureTheory.Measure.trimstatement and proof · cited by 286
- MeasureTheory.condExp_of_not_sigmaFiniteproof · cited by 28
- ProbabilityTheory.condVarstatement · cited by 21
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