Theorems · Theorem · measure theory
MeasureTheory.condExp_indicator_aux
∀ {α : Type u_1} {E : Type u_2} {m m0 : MeasurableSpace α} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E]
[CompleteSpace E] {μ : MeasureTheory.Measure α} {f : α → E} {s : Set α},
MeasurableSet s → f =ᵐ[μ.restrict sᶜ] 0 → μ[s.indicator f | m] =ᵐ[μ] s.indicator μ[f | m]Auxiliary lemma for condExp_indicator.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasurableSetstatement and proof · cited by 3,075
- Compl.complstatement and proof · cited by 2,925
- CompleteSpacestatement and proof · cited by 2,532
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.condExp_indicatorproof · cited by 5