Theorems · Theorem · measure theory
MeasureTheory.condLExp_add_left
∀ {Ω : Type u_1} {mΩ₀ mΩ : MeasurableSpace Ω} {P : MeasureTheory.Measure Ω} {X : Ω → ENNReal} (Y : Ω → ENNReal),
AEMeasurable X P → P⁻[X + Y | mΩ] =ᵐ[P] P⁻[X | mΩ] + P⁻[Y | mΩ]- Cited by
- 1 results in Mathlib
- Foundations
- Depth 220 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- add_zeroproof · cited by 2,707
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- MeasureTheory.Measure.restrictproof · cited by 1,646
- MeasureTheory.lintegralproof · cited by 1,152
- AEMeasurablestatement and proof · cited by 840
- MeasureTheory.SigmaFiniteproof · cited by 526
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.condLExp_add_rightproof · cited by 0