Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.nnnorm
∀ {α : Type u_1} {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {β : Type u_5} [inst : SeminormedAddCommGroup β]
{f : α → β}, MeasureTheory.AEStronglyMeasurable f μ → MeasureTheory.AEStronglyMeasurable (fun x => ‖f x‖₊) μ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
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.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement · cited by 4,310
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NNNorm.nnnormstatement · cited by 952
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- Continuous.comp_aestronglyMeasurableproof · cited by 77
- continuous_nnnormproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.setToFun_tsumproof · cited by 3
- MeasureTheory.integral_mul_norm_le_Lp_mul_Lqproof · cited by 1