Theorems · Theorem · measure theory
aemeasurable_congr
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} [inst : MeasurableSpace β] {f g : α → β}
{μ : MeasureTheory.Measure α}, f =ᵐ[μ] g → (AEMeasurable f μ ↔ AEMeasurable g μ)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- AEMeasurablestatement and proof · cited by 840
- Filter.EventuallyEq.symmproof · cited by 408
- AEMeasurable.congrproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.map_congrproof · cited by 17
- aemeasurable_indicator_iff₀proof · cited by 2