Theorems · Theorem · probability
ProbabilityTheory.IsGaussian.integrable_dual
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : MeasurableSpace E] [BorelSpace E]
(μ : MeasureTheory.Measure E) [ProbabilityTheory.IsGaussian μ] (L : StrongDual ℝ E), MeasureTheory.Integrable (⇑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.
Cites13
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 · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- BorelSpacestatement and proof · cited by 1,602
- MeasureTheory.Integrablestatement · cited by 1,367
- StrongDualstatement and proof · cited by 459
- MeasureTheory.memLp_one_iff_integrableproof · cited by 73
- ProbabilityTheory.IsGaussianstatement and proof · cited by 48
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsGaussian.integral_dual_conv_map_neg_eq_zeroproof · cited by 1