Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.memLp_top
∀ {α : Type u_1} {E : Type u_4} [inst : MeasurableSpace α] [inst_1 : NormedAddCommGroup E]
(f : MeasureTheory.SimpleFunc α E) (μ : MeasureTheory.Measure α), MeasureTheory.MemLp ⇑f ⊤ μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realproof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Norm.normproof · cited by 5,413
- Filter.Eventually.of_forallproof · cited by 526
- MeasureTheory.MemLpstatement and proof · cited by 457
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- MeasureTheory.SimpleFunc.aestronglyMeasurableproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.memLp_of_finite_measure_preimageproof · cited by 1