Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.map_apply
∀ {α : Type u_1} {β : Type u_3} (f : α → β) (m : MeasureTheory.OuterMeasure α) (s : Set β),
((MeasureTheory.OuterMeasure.map f) m) s = m (f ⁻¹' s)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- ENNRealstatement · cited by 9,879
- Set.preimagestatement · cited by 4,946
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- MeasureTheory.OuterMeasure.mapstatement · cited by 30
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.map_topproof · cited by 1
- MeasureTheory.OuterMeasure.comap_mapproof · cited by 1
- MeasureTheory.OuterMeasure.map_comap_of_surjectiveproof · cited by 1
- MeasureTheory.OuterMeasure.map_ofFunction_leproof · cited by 1