Theorems · Theorem · measure theory
MeasureTheory.MemLp.aefinStronglyMeasurable
∀ {α : Type u_1} {G : Type u_2} {p : ENNReal} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}
[inst : NormedAddCommGroup G] {f : α → G},
MeasureTheory.MemLp f p μ → p ≠ 0 → p ≠ ⊤ → MeasureTheory.AEFinStronglyMeasurable f μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- MeasureTheory.MemLpstatement and proof · cited by 457
- MeasureTheory.AEStronglyMeasurable.mkproof · cited by 82
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkproof · cited by 77
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mkproof · cited by 71
- MeasureTheory.MemLp.aestronglyMeasurableproof · cited by 30
- MeasureTheory.AEFinStronglyMeasurablestatement · cited by 27
- MeasureTheory.memLp_congr_aeproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Integrable.aefinStronglyMeasurableproof · cited by 2
- MeasureTheory.nontrivial_Lp_real_of_nontrivial_Lpproof · cited by 1
- MeasureTheory.summable_norm_of_tsum_eLpNorm_ne_topproof · cited by 0