OAI/Combinatorics/ProgressionColoring/FiniteLocalLemmaMeasure.lean
4 declarations, 0 contain sorry, 0 declared as axioms
- structure
OAI.QuantitativeVanDerWaerden.FiniteLocalLemma.Probabilityline 15Source documentation
A probability on the finite sample space
Ω, with the event identities needed by the finite local lemma.structure Probability (Ω : Type uOmega) [Fintype Ω] [DecidableEq Ω] where …
- theorem
OAI.QuantitativeVanDerWaerden.FiniteLocalLemma.Probability.mass_emptyline 27 - def
OAI.QuantitativeVanDerWaerden.FiniteLocalLemma.Probability.ofWeightsline 33Source documentation
The probability whose mass at each point is its prescribed weight.
noncomputable def ofWeights (weight : Ω → ℝ) (weight_nonneg : ∀ ω, 0 ≤ weight ω) (weight_sum : ∑ ω, weight ω = 1) : Probability Ω where …Mentions: OAI.QuantitativeVanDerWaerden.FiniteLocalLemma.Probability
- theorem
OAI.QuantitativeVanDerWaerden.FiniteLocalLemma.Probability.ofWeights_massline 46