Theorems · Theorem · measure theory
MeasureTheory.condExp_congr_ae_trim
∀ {α : Type u_1} {E : Type u_3} {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f g : α → E}
[inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [CompleteSpace E] (hm : m ≤ m₀),
f =ᵐ[μ] g → μ[f | m] =ᵐ[μ.trim hm] μ[g | m]- Cited by
- 1 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- 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.trimstatement · cited by 286
- MeasureTheory.condExpstatement · cited by 234
- MeasureTheory.stronglyMeasurable_condExpproof · cited by 35
- MeasureTheory.condExp_congr_aeproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.condExp_ae_eq_trim_integral_condExpKernelproof · cited by 1