Theorems · Theorem · measure theory
Measurable.nnnorm
∀ {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
- 5 results in Mathlib
- Foundations
- Depth 158 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.
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NNRealstatement · cited by 4,310
- Measurablestatement and proof · cited by 1,499
- NNNorm.nnnormstatement · cited by 952
- OpensMeasurableSpacestatement and proof · cited by 636
- Measurable.compproof · cited by 234
- measurable_nnnormproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_bdd_liminf_atTop_rpow_of_eLpNorm_bddproof · cited by 1
- MeasureTheory.Integrable.uniformIntegrable_condExpproof · cited by 1
- MeasureTheory.lintegral_pow_le_pow_lintegral_fderivproof · cited by 1
- MeasureTheory.condExpL2_ae_eq_zero_of_ae_eq_zeroproof · cited by 0
- MeasureTheory.ae_bdd_condExp_of_ae_bddproof · cited by 0