Theorems · Theorem · measure theory
MeasureTheory.lintegral_add_aux
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f g : α → ENNReal},
Measurable f → Measurable g → ∫⁻ (a : α), f a + g a ∂μ = ∫⁻ (a : α), f a ∂μ + ∫⁻ (a : α), g a ∂μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- iSupproof · cited by 2,415
- le_rflproof · cited by 1,558
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.lintegralstatement and proof · cited by 1,152
- add_le_addproof · cited by 666
- SupSetproof · cited by 154
- MeasureTheory.SimpleFunc.lintegralproof · cited by 55
- Measurable.addproof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_add_leftproof · cited by 21