Theorems · Theorem · measure theory
MeasureTheory.Measure.sInf_apply
∀ {α : Type u_1} {m0 : MeasurableSpace α} {s : Set α} {m : Set (MeasureTheory.Measure α)},
MeasurableSet s → (sInf m) s = (sInf (MeasureTheory.Measure.toOuterMeasure '' m)) s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.imagestatement and proof · cited by 5,609
- MeasurableSetstatement and proof · cited by 3,075
- InfSet.sInfstatement and proof · cited by 935
- MeasureTheory.OuterMeasurestatement · cited by 287
- MeasureTheory.Measure.toOuterMeasurestatement and proof · cited by 75
- MeasureTheory.toMeasure_applyproof · cited by 10
- MeasureTheory.Measure.sInf_caratheodoryproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.inf_applyproof · cited by 2
- MeasureTheory.Measure.restrict_sInf_eq_sInf_restrictproof · cited by 1