Theorems · Theorem · measure theory
MeasureTheory.unifIntegrable_congr_ae
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
[inst : NormedAddCommGroup β] {p : ENNReal} {f g : ι → α → β},
(∀ (n : ι), f n =ᵐ[μ] g n) → (MeasureTheory.UnifIntegrable f p μ ↔ MeasureTheory.UnifIntegrable g p μ)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 210 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Filter.EventuallyEq.symmproof · cited by 408
- MeasureTheory.UnifIntegrablestatement and proof · cited by 31
- MeasureTheory.UnifIntegrable.ae_eqproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.UniformIntegrable.ae_eqproof · cited by 4