Theorems · Theorem · measure theory
MeasureTheory.StronglyMeasurable.pow
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {mα : MeasurableSpace α} [inst : TopologicalSpace β] [inst_1 : Monoid β]
[ContinuousMul β], MeasureTheory.StronglyMeasurable f → ∀ (n : ℕ), MeasureTheory.StronglyMeasurable (f ^ n)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Monoidstatement and proof · cited by 3,887
- MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
- ContinuousMulstatement and proof · cited by 343
- MeasureTheory.StronglyMeasurable.approxproof · cited by 40
- MeasureTheory.StronglyMeasurable.tendsto_approxproof · cited by 36
- Filter.Tendsto.powproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.condVar_ae_eq_condExp_sq_sub_sq_condExpproof · cited by 3
- MeasureTheory.AEStronglyMeasurable.powproof · cited by 3
- MeasureTheory.StronglyMeasurable.fun_powproof · cited by 0
- ProbabilityTheory.condVar_of_stronglyMeasurableproof · cited by 0