Theorems · Theorem · measure theory
measurable_of_measurable_on_compl_singleton
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {mβ : MeasurableSpace β} [MeasurableSingletonClass α]
{f : α → β} (a : α), Measurable ({x | x ≠ a}.domRestrict f) → Measurable f- Cited by
- 4 results in Mathlib
- Foundations
- Depth 70 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Set.Elemstatement · cited by 7,166
- Set.ofPredstatement and proof · cited by 6,101
- Measurablestatement and proof · cited by 1,499
- Set.domRestrictstatement and proof · cited by 383
- MeasurableSingletonClassstatement and proof · cited by 230
- Set.finite_singletonproof · cited by 70
- measurable_of_measurable_on_compl_finiteproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Real.measurable_logproof · cited by 5
- ENNReal.measurable_of_measurable_nnrealproof · cited by 3
- WithTop.measurable_of_measurable_comp_coeproof · cited by 1
- measurable_of_continuousOn_compl_singletonproof · cited by 1