Theorems · Theorem · measure theory
MeasureTheory.StronglyMeasurable.norm
∀ {α : Type u_1} {x : MeasurableSpace α} {β : Type u_5} [inst : SeminormedAddCommGroup β] {f : α → β},
MeasureTheory.StronglyMeasurable f → MeasureTheory.StronglyMeasurable fun x => ‖f x‖- Cited by
- 7 results in Mathlib
- Foundations
- Depth 156 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- Norm.normstatement · cited by 5,413
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
- continuous_normproof · cited by 36
- Continuous.comp_stronglyMeasurableproof · cited by 18
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.norm_setIntegral_le_of_norm_le_const_ae'proof · cited by 3
- MeasureTheory.IsStronglyProgressive.normproof · cited by 1
- ProbabilityTheory.hasFiniteIntegral_comp_iffproof · cited by 1
- ProbabilityTheory.hasFiniteIntegral_compProd_iffproof · cited by 1
- MeasureTheory.hasFiniteIntegral_prod_iffproof · cited by 1
- MeasureTheory.StronglyAdapted.normproof · cited by 0
- MeasureTheory.ae_bdd_condExp_of_ae_bddproof · cited by 0