Theorems · Theorem · probability
MeasureTheory.Integrable.integral_norm_condExpKernel
∀ {Ω : Type u_1} {F : Type u_2} {m : MeasurableSpace Ω} [mΩ : MeasurableSpace Ω] [inst : StandardBorelSpace Ω]
{μ : MeasureTheory.Measure Ω} [inst_1 : MeasureTheory.IsFiniteMeasure μ] [inst_2 : NormedAddCommGroup F] {f : Ω → F},
MeasureTheory.Integrable f μ →
MeasureTheory.Integrable (fun ω => ∫ (y : Ω), ‖f y‖ ∂(ProbabilityTheory.condExpKernel μ m) ω) μ- Defined in
- Mathlib.Probability.Kernel.Condexp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 285 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- TopologicalSpaceproof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Norm.normstatement and proof · cited by 5,413
- Nontrivialproof · cited by 2,416
- MeasureTheory.integralstatement and proof · cited by 1,779
- MeasureTheory.Integrablestatement and proof · cited by 1,367
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.