Theorems · Theorem · measure theory
AEMeasurable.coe_nnreal_ennreal
∀ {α : Type u_1} {mα : MeasurableSpace α} {f : α → NNReal} {μ : MeasureTheory.Measure α},
AEMeasurable f μ → AEMeasurable (fun x => ↑(f x)) μ- Cited by
- 6 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ENNRealstatement · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement · cited by 1,279
- AEMeasurablestatement and proof · cited by 840
- Continuous.measurableproof · cited by 181
- Measurable.comp_aemeasurableproof · cited by 99
- ENNReal.continuous_coeproof · cited by 18
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_mul_norm_le_Lp_mul_Lqproof · cited by 1
- MeasureTheory.aemeasurable_withDensity_ennreal_iff'proof · cited by 1
- MeasureTheory.tendstoInDistribution_of_ae_tendstoproof · cited by 1
- NNReal.lintegral_mul_le_Lp_mul_Lqproof · cited by 0
- AEMeasurable.nnreal_tsumproof · cited by 0
- aemeasurable_coe_nnreal_ennreal_iffproof · cited by 0