Documentation

LeanPool.AnomalousDiffusion.AVenhance.Statements.Ingredients.Nonempty

Statement file: nonempty (Ingredients). This file contains exactly one declaration of the formalization's public statement surface.

theorem AVenhance.Ingredients.nonempty (β : ℝ) (h1 : 1 < β) (h2 : β < 4 / 3) :
∃ (C₀ : ℝ), 1 ≤ C₀ ∧ ∀ (Λ : ℕ), 2 ^ 7 ≤ Λ → ∃ (I : Ingredients β), I.Λ = Λ ∧ I.Czeta ≤ C₀ ∧ I.Cxi ≤ C₀ ∧ I.Chat ≤ C₀

statement Ingredients.nonempty: for every β ∈ (1, 4/3) there is a constant C₀ (depending only on β) such that for every integer Λ ≥ 2^7 there are ingredients with this Λ and all three cutoff constants at most C₀.