Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.pow
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f : α → β} [inst_1 : Monoid β] [ContinuousMul β],
MeasureTheory.AEStronglyMeasurable f μ → ∀ (n : ℕ), MeasureTheory.AEStronglyMeasurable (f ^ n) μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 174 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.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Monoidstatement and proof · cited by 3,887
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- ContinuousMulstatement and proof · cited by 343
- MeasureTheory.AEStronglyMeasurable.mkproof · cited by 82
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkproof · cited by 77
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mkproof · cited by 71
- MeasureTheory.StronglyMeasurable.powproof · cited by 4
- Filter.EventuallyEq.pow_constproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.fun_powproof · cited by 13
- ProbabilityTheory.variance_mapproof · cited by 11
- integrable_of_le_of_pow_mul_leproof · cited by 1