Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen
∀ {α : Type u_1} (m : Set (MeasureTheory.OuterMeasure α)),
sInf m = MeasureTheory.OuterMeasure.boundedBy (MeasureTheory.OuterMeasure.sInfGen m)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- le_antisymmproof · cited by 2,068
- le_transproof · cited by 985
- InfSet.sInfstatement · cited by 935
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- sInf_leproof · cited by 110
- le_iInf₂proof · cited by 67
- le_sInfproof · cited by 51
- iInf₂_leproof · cited by 45
- MeasureTheory.OuterMeasure.boundedBystatement · cited by 21
- MeasureTheory.OuterMeasure.boundedBy_leproof · cited by 5
- MeasureTheory.OuterMeasure.sInfGenstatement · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.sInf_applyproof · cited by 3
- MeasureTheory.Measure.sInf_caratheodoryproof · cited by 1