Theorems · Theorem · measure theory
MeasureTheory.integrable_indicatorConstLp
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ : MeasureTheory.Measure α} {E : Type u_7} [inst : NormedAddCommGroup E]
{p : ENNReal} {s : Set α} (hs : MeasurableSet s) (hμs : μ s ≠ ⊤) (c : E),
MeasureTheory.Integrable (↑↑(MeasureTheory.indicatorConstLp p hs hμs c)) μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
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Cites19
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
- Setstatement and proof · cited by 53,352
- 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
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.Integrablestatement · cited by 1,367
- MeasureTheory.AEEqFunstatement · cited by 856
- MeasureTheory.Lpstatement · cited by 715
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