Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.map_iInf_le
∀ {α : Type u_1} {ι : Sort u_2} {β : Type u_3} (f : α → β) (m : ι → MeasureTheory.OuterMeasure α),
(MeasureTheory.OuterMeasure.map f) (⨅ i, m i) ≤ ⨅ i, (MeasureTheory.OuterMeasure.map f) (m i)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- ENNRealstatement · cited by 9,879
- iInfstatement · cited by 1,690
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- MeasureTheory.OuterMeasure.mapstatement · cited by 30
- Monotone.map_iInf_leproof · cited by 6
- MeasureTheory.OuterMeasure.map_monoproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.map_iInf_comapproof · cited by 2