Theorems · Theorem · measure theory
Measurable.norm
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : NormedAddCommGroup α] [OpensMeasurableSpace α]
[inst_3 : MeasurableSpace β] {f : β → α}, Measurable f → Measurable fun a => ‖f a‖- Cited by
- 9 results in Mathlib
- Foundations
- Depth 157 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.
- Realstatement · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- Norm.normstatement · cited by 5,413
- Measurablestatement and proof · cited by 1,499
- OpensMeasurableSpacestatement and proof · cited by 636
- Measurable.compproof · cited by 234
- measurable_normproof · cited by 6
Cited by9
Results whose statement or proof uses this declaration.
- Complex.measurable_argproof · cited by 3
- integrable_rpow_neg_one_add_norm_sqproof · cited by 2
- MeasureTheory.isTightMeasureSet_range_of_tendsto_limsup_innerproof · cited by 2
- ValueDistribution.Cartan.measurable_cartanKernelproof · cited by 2
- MeasureTheory.isTightMeasureSet_of_tendsto_charFunproof · cited by 1
- finite_integral_one_add_normproof · cited by 1
- ProbabilityTheory.strong_law_ae_of_measurableproof · cited by 1
- integrable_one_add_normproof · cited by 1
- MeasureTheory.IsProgressive.normproof · cited by 0