Theorems · Theorem · probability
ProbabilityTheory.uniformOn_disjoint_union
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [MeasurableSingletonClass Ω] {s t u : Set Ω},
s.Finite →
t.Finite →
Disjoint s t →
(ProbabilityTheory.uniformOn s) u * (ProbabilityTheory.uniformOn (s ∪ t)) s +
(ProbabilityTheory.uniformOn t) u * (ProbabilityTheory.uniformOn (s ∪ t)) t =
(ProbabilityTheory.uniformOn (s ∪ t)) u- Defined in
- Mathlib.Probability.UniformOn
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites41
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Set.Nonemptyproof · cited by 2,627
- zero_addproof · cited by 2,366
- mul_commproof · cited by 2,262
- Disjointstatement and proof · cited by 2,201
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.uniformOn_add_compl_eqproof · cited by 0