Theorems · Definition · probability
ProbabilityTheory.truncation
{α : Type u_1} → (α → ℝ) → ℝ → α → ℝTruncating a real-valued function to the interval (-A, A].
- Defined in
- Mathlib.Probability.StrongLaw
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Set.Iocproof · cited by 971
- Set.indicatorproof · cited by 723
Cited by23
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.truncationstatement · cited by 3
- ProbabilityTheory.IdentDistrib.truncationstatement · cited by 2
- MeasureTheory.AEStronglyMeasurable.memLp_truncationstatement · cited by 2
- ProbabilityTheory.abs_truncation_le_abs_selfstatement · cited by 2
- ProbabilityTheory.integral_truncation_le_integral_of_nonnegstatement and proof · cited by 2
- ProbabilityTheory.integral_truncation_eq_intervalIntegral_of_nonnegstatement and proof · cited by 2
- ProbabilityTheory.moment_truncation_eq_intervalIntegral_of_nonnegstatement · cited by 2
- ProbabilityTheory.truncation_eq_of_nonnegstatement · cited by 1
- ProbabilityTheory.truncation_eq_selfstatement · cited by 1
- ProbabilityTheory.truncation_nonnegstatement · cited by 1
- ProbabilityTheory.truncation_zerostatement · cited by 1
- ProbabilityTheory.tendsto_integral_truncationstatement and proof · cited by 1