Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.map_top
∀ {α : Type u_1} {β : Type u_2} (f : α → β),
(MeasureTheory.OuterMeasure.map f) ⊤ = (MeasureTheory.OuterMeasure.restrict (Set.range f)) ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Set.rangestatement and proof · cited by 4,705
- iInfproof · cited by 1,690
- MeasureTheory.OuterMeasurestatement · cited by 287
- Set.image_preimage_eq_inter_rangeproof · cited by 121
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.map_top_of_surjectiveproof · cited by 0