Theorems · Theorem · probability
ProbabilityTheory.uniformOn_self
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [MeasurableSingletonClass Ω] {s : Set Ω},
s.Finite → s.Nonempty → (ProbabilityTheory.uniformOn s) s = 1- 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.
Cites17
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 and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.Nonemptystatement and proof · cited by 2,627
- Set.Finitestatement and proof · cited by 1,814
- LT.lt.neproof · cited by 872
- MeasurableSingletonClassstatement and proof · cited by 230
- Set.inter_selfproof · cited by 63
- MeasureTheory.Measure.countproof · cited by 60
- ENNReal.inv_mul_cancelproof · cited by 33
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.uniformOn_eq_one_ofproof · cited by 1
- ProbabilityTheory.uniformOn_disjoint_unionproof · cited by 1