Theorems · Theorem · probability
ProbabilityTheory.isProbabilityMeasure_uniformOn
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [MeasurableSingletonClass Ω] {s : Set Ω},
s.Finite → s.Nonempty → MeasureTheory.IsProbabilityMeasure (ProbabilityTheory.uniformOn s)- Defined in
- Mathlib.Probability.UniformOn
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Set.Nonemptystatement and proof · cited by 2,627
- Set.Finitestatement and proof · cited by 1,814
- LT.lt.neproof · cited by 872
- MeasureTheory.IsProbabilityMeasurestatement · cited by 392
- MeasurableSingletonClassstatement and proof · cited by 230
- ProbabilityTheory.uniformOnstatement · cited by 27
- MeasureTheory.Measure.count_apply_lt_topproof · cited by 4
- MeasureTheory.Measure.count_ne_zero_iffproof · cited by 4
- ProbabilityTheory.cond_isProbabilityMeasure_of_finiteproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.uniformOn_eq_one_ofproof · cited by 1
- ProbabilityTheory.uniformOn_isProbabilityMeasureproof · cited by 0