Full actual mixed seed-multiplier bounds from source ingredients.
theorem
AVenhance.Infra.Section4.amnr_seedMultiplierA0Plus_contDiff
{β : ℝ}
(I : Ingredients β)
{Φ : ℕ → ℝ → Homogenization.Vec 2 → ℝ}
(hΦ : IsStreamSeq I Φ)
{m : ℕ}
(hm : 1 ≤ m)
{κ : ℝ}
(hκ : 0 < κ)
(n N : ℕ)
(hN : N ≤ Nstar β)
(j k i p : Fin 2)
:
ContDiff ℝ (↑N) (amnrSeedMultiplierA0Plus I hΦ m κ n j k i p)
Smoothness of the candidate seed through the full source order.
theorem
AVenhance.Infra.Section4.amnr_seedMultiplier_contDiff
{β : ℝ}
(I : Ingredients β)
{Φ : ℕ → ℝ → Homogenization.Vec 2 → ℝ}
(hΦ : IsStreamSeq I Φ)
{m : ℕ}
(hm : 1 ≤ m)
{κ : ℝ}
(hκ : 0 < κ)
(n N : ℕ)
(hN : N ≤ Nstar β)
(j k i p : Fin 2)
:
ContDiff ℝ (↑N) (amnrSeedMultiplier I hΦ m κ n j k i p)
Smoothness of the actual seed through the source order.