Theorems · Theorem · measure theory
MeasureTheory.Lp.finStronglyMeasurable
∀ {α : Type u_1} {G : Type u_2} {p : ENNReal} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}
[inst : NormedAddCommGroup G] (f : ↥(MeasureTheory.Lp G p μ)),
p ≠ 0 → p ≠ ⊤ → MeasureTheory.FinStronglyMeasurable (↑↑f) μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 223 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
- AddSubgroupstatement · cited by 3,232
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.Lpstatement and proof · cited by 715
- MeasureTheory.AEEqFun.caststatement · cited by 380
- MeasureTheory.Lp.memLpproof · cited by 35
- MeasureTheory.FinStronglyMeasurablestatement · cited by 28
- MeasureTheory.Lp.stronglyMeasurableproof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.lpMeas.ae_fin_strongly_measurable'proof · cited by 1
- MeasureTheory.Lp.ae_eq_of_forall_setIntegral_eqproof · cited by 0
- MeasureTheory.Lp.ae_eq_zero_of_forall_setIntegral_eq_zeroproof · cited by 0