Theorems · Theorem · probability
PMF.toMeasure_ofFintype_apply
∀ {α : Type u_1} [inst : Fintype α] {f : α → ENNReal} (h : ∑ a, f a = 1) (s : Set α) [inst_1 : MeasurableSpace α],
MeasurableSet s → (PMF.ofFintype f h).toMeasure s = ∑' (x : α), s.indicator f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeMeasurableSpace
Around this declaration
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Cites16
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 and proof · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Finset.sumstatement and proof · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- MeasurableSetstatement and proof · cited by 3,075
- SummationFilter.unconditionalstatement · cited by 2,068
- tsumstatement · cited by 1,148
- Set.indicatorstatement · cited by 723
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