Theorems · Theorem · probability
PMF.toOuterMeasure_apply_le_toMeasure_apply
∀ {α : Type u_1} [inst : MeasurableSpace α] (p : PMF α) (s : Set α), p.toOuterMeasure s ≤ p.toMeasure s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasureTheory.OuterMeasurestatement · cited by 287
- PMFstatement and proof · cited by 127
- PMF.toMeasurestatement · cited by 34
- PMF.toOuterMeasurestatement and proof · cited by 26
- MeasureTheory.le_toMeasure_applyproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- PMF.toMeasure_monoproof · cited by 1