Theorems · Theorem · probability
ProbabilityTheory.finite_of_uniformOn_ne_zero
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] {s t : Set Ω}, (ProbabilityTheory.uniformOn s) t ≠ 0 → s.Finite- Defined in
- Mathlib.Probability.UniformOn
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 9,879
- Set.Finitestatement and proof · cited by 1,814
- MeasureTheory.Measure.restrictproof · cited by 1,646
- zero_smulproof · cited by 716
- MeasureTheory.Measure.countproof · cited by 60
- ENNReal.inv_topproof · cited by 36
- ProbabilityTheory.uniformOnstatement and proof · cited by 27
- MeasureTheory.Measure.count_apply_infiniteproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.pred_true_of_uniformOn_eq_oneproof · cited by 0