Theorems · Theorem · functional analysis
MeasureTheory.MemLp.aestronglyMeasurable
∀ {α : Type u_1} {ε : Type u_2} {m0 : MeasurableSpace α} [inst : ENorm ε] {μ : MeasureTheory.Measure α}
[inst_1 : TopologicalSpace ε] {f : α → ε} {p : ENNReal},
MeasureTheory.MemLp f p μ → MeasureTheory.AEStronglyMeasurable f μ- Cited by
- 30 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ENormTopologicalSpace
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.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasureTheory.AEStronglyMeasurablestatement · cited by 755
- MeasureTheory.MemLpstatement and proof · cited by 457
- ENormstatement and proof · cited by 155
Cited by30
Results whose statement or proof uses this declaration.
- MeasureTheory.MemLp.aemeasurableproof · cited by 10
- MeasureTheory.Integrable.add_measureproof · cited by 6
- MeasureTheory.lpNorm_add_leproof · cited by 5
- MeasureTheory.MemLp.eLpNorm_eq_integral_rpow_normproof · cited by 4
- ProbabilityTheory.IndepFun.covariance_eq_zeroproof · cited by 4
- MeasureTheory.MemLp.normproof · cited by 3
- MeasureTheory.MemLp.exists_boundedContinuous_eLpNorm_sub_leproof · cited by 3
- MeasureTheory.MemLp.exists_hasCompactSupport_eLpNorm_sub_leproof · cited by 3
- MeasureTheory.MemLp.indicatorproof · cited by 3
- MeasureTheory.MemLp.aefinStronglyMeasurableproof · cited by 3
- MeasureTheory.eLpNorm_add_lt_topproof · cited by 2
- MeasureTheory.ae_le_lpNorm_exponent_topproof · cited by 2