Theorems · Theorem · probability
PMF.toMeasure_ofFinset_apply
∀ {α : Type u_1} {f : α → ENNReal} {s : Finset α} (h : ∑ a ∈ s, f a = 1) (h' : ∀ a ∉ s, f a = 0) (t : Set α)
[inst : MeasurableSpace α], MeasurableSet t → (PMF.ofFinset f s h h').toMeasure t = ∑' (x : α), t.indicator f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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Cites15
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Finset.sumstatement and proof · cited by 5,195
- MeasurableSetstatement and proof · cited by 3,075
- SummationFilter.unconditionalstatement · cited by 2,068
- tsumstatement · cited by 1,148
- Set.indicatorstatement · cited by 723
- PMF.toMeasurestatement · cited by 34
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