Proof of the statement for the corrected of l_recurse.

theorem AVenhance.Proofs.LRecurse.kappaPrimeUniformConstant_ge_one {β : ℝ} (hβ : 1 < β) (hβ' : β < 4 / 3) : 1 ≤ Infra.Section3.kappaPrimeUniformConstant β

theorem AVenhance.Proofs.l_recurse (β C₀ : ℝ) : ∃ (c : ℝ) (C : ℝ), 0 < c ∧ c < C ∧ ∀ (I : Ingredients β), I.Czeta ≤ C₀ → I.Cxi ≤ C₀ → I.Chat ≤ C₀ → ∀ κ ∈ permissibleSet β I.Λ, ∀ (M : ℕ), 1 ≤ M → κ ∈ permittedInterval β I.Λ M → (∀ (m : ℕ), 1 ≤ m → m < M → c * (AVenhance.a β I.Λ m * epsilon β I.Λ m ^ (2 + gamma β)) ≤ I.kappaAt κ m (M - m) ∧ I.kappaAt κ m (M - m) ≤ C * (AVenhance.a β I.Λ m * epsilon β I.Λ m ^ (2 + gamma β))) ∧ ∀ (m : ℕ), 2 ≤ m → m < M → c * epsilon β I.Λ (m - 1) ^ (4 * delta β) ≤ epsilon β I.Λ m ^ 2 / (I.kappaAt κ m (M - m) * tau β I.Λ m) ∧ epsilon β I.Λ m ^ 2 / (I.kappaAt κ m (M - m) * tau β I.Λ m) ≤ C * epsilon β I.Λ (m - 1) ^ (4 * delta β)

The theorem with the corrected 4δ exprat exponent.