Theorems · Theorem · probability
ProbabilityTheory.integral_linearMap_gaussianReal
∀ {μ : ℝ} {v : NNReal} (L : ℝ →ₗ[ℝ] ℝ), ∫ (x : ℝ), L x ∂ProbabilityTheory.gaussianReal μ v = L μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- LinearMapstatement and proof · cited by 10,215
- NNRealstatement and proof · cited by 4,310
- MeasureTheory.integralstatement and proof · cited by 1,779
- MeasureTheory.Measure.mapproof · cited by 858
- ProbabilityTheory.gaussianRealstatement and proof · cited by 77
- MeasureTheory.integral_mapproof · cited by 67
- aestronglyMeasurable_idproof · cited by 35
- Continuous.aemeasurableproof · cited by 21
- IsModuleTopology.continuous_of_linearMapproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.integral_continuousLinearMap_gaussianRealproof · cited by 0