Theorems · Theorem · probability
ProbabilityTheory.integral_continuousLinearMap_gaussianReal
∀ {μ : ℝ} {v : NNReal} (L : ℝ →L[ℝ] ℝ), ∫ (x : ℝ), L x ∂ProbabilityTheory.gaussianReal μ v = L μ- Cited by
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- Foundations
- Depth 300 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.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- ContinuousLinearMapstatement and proof · cited by 5,352
- NNRealstatement and proof · cited by 4,310
- MeasureTheory.integralstatement · cited by 1,779
- ContinuousLinearMap.toLinearMapproof · cited by 528
- ProbabilityTheory.gaussianRealstatement · cited by 77
- ProbabilityTheory.integral_linearMap_gaussianRealproof · cited by 1
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