OAI/Combinatorics/ProgressionColoring/FiniteLocalLemmaMeasure.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

  1. structure OAI.QuantitativeVanDerWaerden.FiniteLocalLemma.Probability line 15

    Source 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
    …
  2. theorem OAI.QuantitativeVanDerWaerden.FiniteLocalLemma.Probability.mass_empty line 27
  3. def OAI.QuantitativeVanDerWaerden.FiniteLocalLemma.Probability.ofWeights line 33

    Source 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

  4. theorem OAI.QuantitativeVanDerWaerden.FiniteLocalLemma.Probability.ofWeights_mass line 46