Theorems · Theorem · probability
PMF.toOuterMeasure_uniformOfFinset_apply
∀ {α : Type u_1} {s : Finset α} (hs : s.Nonempty) (t : Set α),
(PMF.uniformOfFinset s hs).toOuterMeasure t = ↑{x ∈ s | x ∈ t}.card / ↑s.card- Cited by
- 2 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Finsetstatement and proof · cited by 13,712
- ENNRealstatement · cited by 9,879
- Finset.cardstatement and proof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- Finset.Nonemptystatement and proof · cited by 1,001
- Finset.filterstatement and proof · cited by 949
- div_eq_mul_invproof · cited by 715
- nsmul_eq_mulproof · cited by 369
- MeasureTheory.OuterMeasurestatement · cited by 287
- Finset.sum_constproof · cited by 254
Cited by2
Results whose statement or proof uses this declaration.
- PMF.toMeasure_uniformOfFinset_applyproof · cited by 1
- PMF.toOuterMeasure_uniformOfFintype_applyproof · cited by 0