Theorems · Theorem · probability
MeasureTheory.AEStronglyMeasurable.truncation
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → ℝ},
MeasureTheory.AEStronglyMeasurable f μ →
∀ {A : ℝ}, MeasureTheory.AEStronglyMeasurable (ProbabilityTheory.truncation f A) μ- Defined in
- Mathlib.Probability.StrongLaw
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.StronglyMeasurable.aestronglyMeasurableproof · cited by 94
- MeasureTheory.AEStronglyMeasurable.aemeasurableproof · cited by 73
- measurableSet_Iocproof · cited by 65
- MeasureTheory.StronglyMeasurable.indicatorproof · cited by 25
- ProbabilityTheory.truncationstatement · cited by 23
- MeasureTheory.AEStronglyMeasurable.comp_aemeasurableproof · cited by 8
- stronglyMeasurable_idproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.memLp_truncationproof · cited by 2
- ProbabilityTheory.strong_law_aux1proof · cited by 1
- ProbabilityTheory.tendsto_integral_truncationproof · cited by 1