Uniform producer #
theorem
AVenhance.Infra.Section5.RelativeError.e44_initialTrace_contract
(β C₀ : ℝ)
:
∃ (Ctr : ℝ) (L : ℝ),
1 ≤ Ctr ∧ Integration.OnA8Instances β C₀ L
fun (I : Ingredients β) (_Φ : ℕ → ℝ → Homogenization.Vec 2 → ℝ) (_hΦ : IsStreamSeq I _Φ) (κ : ℝ) (M : ℕ) (R : ℝ)
(θ₀ : Homogenization.Vec 2 → ℝ) (m : ℕ) (_θm θprev : ℝ → Homogenization.Vec 2 → ℝ)
(_T : ℕ → ℝ → Homogenization.Vec 2 → ℝ) =>
6 / 5 ≤ β → epsilon β I.Λ (m - 1) ^ (1 + gamma β / 2 - delta β) ≤ R → e44PositiveTraceInput β I κ M m θ₀ θprev Ctr
Uniform AV-parameter positive trace. The recursion constants, and hence
Ctr, are selected from l_recurse β C₀ before the Ingredients instance.
The gate and later-scale hypothesis match the step-down part (ii) consumers.