Theorems · Theorem · measure theory
measurable_of_measurable_on_compl_countable
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {mβ : MeasurableSpace β} [MeasurableSingletonClass α]
{f : α → β} (s : Set α), s.Countable → Measurable (sᶜ.domRestrict f) → Measurable f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 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
- Compl.complstatement and proof · cited by 2,925
- Measurablestatement and proof · cited by 1,499
- Countableproof · cited by 633
- Set.Countablestatement and proof · cited by 545
- Set.domRestrictstatement and proof · cited by 383
- MeasurableSingletonClassstatement and proof · cited by 230
- Set.Countable.to_subtypeproof · cited by 33
- Set.Countable.measurableSetproof · cited by 14
- measurable_of_restrict_of_restrict_complproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousOn.measurable_of_countable_complproof · cited by 1