Theorems · Theorem · probability
ProbabilityTheory.uniformOn_univ
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [inst_1 : Fintype Ω] {s : Set Ω},
(ProbabilityTheory.uniformOn Set.univ) s = MeasureTheory.Measure.count s / ↑(Fintype.card Ω)- Defined in
- Mathlib.Probability.UniformOn
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- Fintypestatement and proof · cited by 7,736
- Set.univstatement · cited by 3,945
- Fintype.cardstatement and proof · cited by 1,386
- Set.univ_interproof · cited by 258
- ENat.toENNRealproof · cited by 103
- MeasureTheory.Measure.countstatement and proof · cited by 60
- ProbabilityTheory.uniformOnstatement · cited by 27
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