Theorems · Theorem · general topology
MeasureTheory.analyticSet_range_of_polishSpace
∀ {α : Type u_1} [inst : TopologicalSpace α] {β : Type u_3} [inst_1 : TopologicalSpace β] [PolishSpace β] {f : β → α},
Continuous f → MeasureTheory.AnalyticSet (Set.range f)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · 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
- IsEmptyproof · cited by 759
- Continuous.compproof · cited by 371
- isEmpty_or_nonemptyproof · cited by 269
- PolishSpacestatement and proof · cited by 57
- Function.Surjective.range_compproof · cited by 18
- MeasureTheory.AnalyticSetstatement and proof · cited by 16
- Set.range_eq_emptyproof · cited by 14
- MeasureTheory.AnalyticSet_defproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.analyticSet_iff_exists_polishSpace_rangeproof · cited by 4
- IsClosed.analyticSetproof · cited by 2
- MeasureTheory.AnalyticSet.image_of_continuousOnproof · cited by 1
- IsOpen.analyticSet_imageproof · cited by 1
- MeasureTheory.AnalyticSet.iInterproof · cited by 0
- MeasureTheory.AnalyticSet.iUnionproof · cited by 0