Theorems · Theorem · measure theory
MeasureTheory.condExp_ae_eq_restrict_zero
∀ {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 s] 0 → μ[f | m] =ᵐ[μ.restrict s] 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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
- Top.topproof · cited by 9,680
- MeasurableSetstatement and proof · cited by 3,075
- CompleteSpacestatement and proof · cited by 2,532
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.condExp_ae_eq_restrict_of_measurableSpace_eq_onproof · cited by 6
- MeasureTheory.condExp_indicator_auxproof · cited by 1