Theorems · Theorem · probability
MeasureTheory.MemLp.evariance_ne_top
∀ {Ω : Type u_1} {mΩ : MeasurableSpace Ω} {X : Ω → ℝ} {μ : MeasureTheory.Measure Ω} [MeasureTheory.IsFiniteMeasure μ],
MeasureTheory.MemLp X 2 μ → ProbabilityTheory.evariance X μ ≠ ⊤Alias of ProbabilityTheory.evariance_ne_top.
- Defined in
- Mathlib.Probability.Moments.Variance
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 253 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MeasurableSpacestatement · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- MeasureTheory.IsFiniteMeasurestatement · cited by 1,078
- MeasureTheory.MemLpstatement · cited by 457
- ProbabilityTheory.evariancestatement · cited by 22
- ProbabilityTheory.evariance_ne_topproof · cited by 2
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