Theorems · Theorem · measure theory
MeasureTheory.integrable_condExp
∀ {α : Type u_1} {E : Type u_3} {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → E}
[inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [CompleteSpace E], MeasureTheory.Integrable μ[f | m] μ- Cited by
- 28 results in Mathlib
- Foundations
- Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.Integrablestatement and proof · cited by 1,367
- MeasureTheory.SigmaFiniteproof · cited by 526
- Filter.EventuallyEq.symmproof · cited by 408
- MeasureTheory.Measure.trimproof · cited by 286
- MeasureTheory.condExpstatement · cited by 234
- MeasureTheory.condExp_of_not_sigmaFiniteproof · cited by 28
Cited by28
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_eq_condExp_of_forall_setIntegral_eqproof · cited by 12
- MeasureTheory.Martingale.integrableproof · cited by 10
- MeasureTheory.condExp_restrict_ae_eq_restrictproof · cited by 8
- MeasureTheory.condExp_ae_eq_restrict_of_measurableSpace_eq_onproof · cited by 6
- MeasureTheory.condExp_condExp_of_leproof · cited by 6
- MeasureTheory.condExp_stronglyMeasurable_bilin_of_boundproof · cited by 3
- MeasureTheory.MemLp.condExpproof · cited by 3
- MeasureTheory.martingale_martingalePartproof · cited by 2
- MeasureTheory.integral_abs_condExp_leproof · cited by 2
- MeasureTheory.submartingale_natproof · cited by 2
- MeasureTheory.submartingale_of_setIntegral_leproof · cited by 2
- ContinuousLinearMap.comp_condExp_commproof · cited by 2