Theorems · Theorem · measure theory
MeasureTheory.UnifIntegrable.ae_eq
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
[inst : NormedAddCommGroup β] {f g : ι → α → β} {p : ENNReal},
MeasureTheory.UnifIntegrable f p μ → (∀ (n : ι), f n =ᵐ[μ] g n) → MeasureTheory.UnifIntegrable g p μ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Realproof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- LE.le.transproof · cited by 3,151
- MeasurableSetproof · cited by 3,075
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_Lp_finite_of_tendsto_aeproof · cited by 1
- MeasureTheory.unifIntegrable_congr_aeproof · cited by 1
- MeasureTheory.tendsto_Lp_of_tendsto_aeproof · cited by 1
- MeasureTheory.unifIntegrable_ofproof · cited by 1