Theorems · Theorem · probability
ProbabilityTheory.uniformOn_eq_zero_iff
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [MeasurableSingletonClass Ω] {s t : Set Ω},
s.Finite → ((ProbabilityTheory.uniformOn s) t = 0 ↔ s ∩ t = ∅)- Defined in
- Mathlib.Probability.UniformOn
- Cited by
- 1 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.
Cites14
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 · cited by 9,879
- Set.Finitestatement and proof · cited by 1,814
- MeasurableSingletonClassstatement and proof · cited by 230
- MeasureTheory.Measure.countproof · cited by 60
- Set.Finite.inter_of_leftproof · cited by 31
- ProbabilityTheory.uniformOnstatement · cited by 27
- ProbabilityTheory.cond_applyproof · cited by 20
- Set.Finite.measurableSetproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.uniformOn_interproof · cited by 1