Theorems · Theorem · measure theory
measurable_of_measurable_on_compl_finite
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {mβ : MeasurableSpace β} [MeasurableSingletonClass α]
{f : α → β} (s : Set α), s.Finite → Measurable (sᶜ.domRestrict f) → Measurable f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSingletonClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Set.Elemstatement and proof · cited by 7,166
- Finiteproof · cited by 3,029
- Compl.complstatement and proof · cited by 2,925
- Set.Finitestatement and proof · cited by 1,814
- Measurablestatement and proof · cited by 1,499
- Set.domRestrictstatement and proof · cited by 383
- MeasurableSingletonClassstatement and proof · cited by 230
- Set.Finite.to_subtypeproof · cited by 44
- Set.Finite.measurableSetproof · cited by 15
- measurable_of_restrict_of_restrict_complproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- measurable_of_measurable_on_compl_singletonproof · cited by 4
- EReal.measurable_of_measurable_realproof · cited by 3