Theorems · Theorem · general topology
MeasureTheory.AnalyticSet.image_of_continuous
∀ {α : Type u_1} [inst : TopologicalSpace α] {β : Type u_3} [inst_1 : TopologicalSpace β] {s : Set α},
MeasureTheory.AnalyticSet s → ∀ {f : α → β}, Continuous f → MeasureTheory.AnalyticSet (f '' s)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.imagestatement · cited by 5,609
- Continuousstatement and proof · cited by 2,592
- Continuous.continuousOnproof · cited by 311
- MeasureTheory.AnalyticSetstatement and proof · cited by 16
- MeasureTheory.AnalyticSet.image_of_continuousOnproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MeasurableSet.analyticSetproof · cited by 1
- MeasurableSet.analyticSet_imageproof · cited by 1
- MeasureTheory.AnalyticSet.preimageproof · cited by 0