Theorems · Theorem · measure theory
measurable_of_continuousOn_compl_singleton
∀ {α : Type u_1} {γ : Type u_3} [inst : TopologicalSpace α] [inst_1 : MeasurableSpace α] [OpensMeasurableSpace α]
[inst_3 : TopologicalSpace γ] [inst_4 : MeasurableSpace γ] [BorelSpace γ] [T1Space α] {f : α → γ} (a : α),
ContinuousOn f {a}ᶜ → Measurable f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- Compl.complstatement and proof · cited by 2,925
- BorelSpacestatement and proof · cited by 1,602
- Measurablestatement · cited by 1,499
- ContinuousOnstatement and proof · cited by 1,411
- OpensMeasurableSpacestatement and proof · cited by 636
- T1Spacestatement and proof · cited by 275
- Continuous.measurableproof · cited by 181
- continuousOn_iff_continuous_domRestrictproof · cited by 51
- measurable_of_measurable_on_compl_singletonproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- intervalIntegral.intervalIntegrable_cpowproof · cited by 2