Theorems · Theorem · general topology
MeasureTheory.AnalyticSet_def
∀ {α : Type u_3} [inst : TopologicalSpace α] (s : Set α),
MeasureTheory.AnalyticSet s = (s = ∅ ∨ ∃ f, Continuous f ∧ Set.range f = s)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- TopologicalSpacestatement and proof · cited by 24,529
- Set.rangestatement and proof · cited by 4,705
- Continuousstatement and proof · cited by 2,592
- MeasureTheory.AnalyticSetstatement · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.analyticSet_range_of_polishSpaceproof · cited by 6
- MeasureTheory.analyticSet_iff_exists_polishSpace_rangeproof · cited by 4
- MeasureTheory.AnalyticSet.measurablySeparableproof · cited by 2
- MeasureTheory.analyticSet_emptyproof · cited by 1