OAI/Probability/DilutedSpin/CountableFullSupport.lean
1 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.DilutedSpinGlass.exists_countable_full_supportline 12Source documentation
A concrete full-support probability law for every nonempty countable mark dictionary, obtained by pushing forward a geometric law on its enumeration.
theorem exists_countable_full_support (I : Type) [Countable I] [Nonempty I] [MeasurableSpace I] [MeasurableSingletonClass I] : ∃ ν : Measure I, IsProbabilityMeasure ν ∧ ∀ i, 0 < ν.real {i} := by …