Producers for the four mean-zero contracts consumed by big-bound estimate and step-down part (ii).
theorem
AVenhance.Infra.Section5.Contracts.groupMeanZero_contract
(β C₀ : ℝ)
:
∃ (C₁ : ℝ),
Integration.OnA7Instances β C₀ C₁
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) (_θprev : ℝ → Homogenization.Vec 2 → ℝ)
(T : ℕ → ℝ → Homogenization.Vec 2 → ℝ) =>
Integration.GroupMeanZeroContract I hΦ m (I.kappaSeq κ M m) T
theorem
AVenhance.Infra.Section5.Contracts.cutoff1MeanZero_contract
(β C₀ : ℝ)
:
∃ (C₁ : ℝ),
Integration.OnA7Instances β C₀ C₁
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) (_θprev : ℝ → Homogenization.Vec 2 → ℝ)
(T : ℕ → ℝ → Homogenization.Vec 2 → ℝ) =>
Integration.Cutoff1MeanZeroContract I hΦ m (I.kappaSeq κ M m) T
theorem
AVenhance.Infra.Section5.Contracts.twistie1MeanZero_contract
(β C₀ : ℝ)
:
∃ (C₁ : ℝ),
Integration.OnA7Instances β C₀ C₁
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) (_θprev : ℝ → Homogenization.Vec 2 → ℝ)
(T : ℕ → ℝ → Homogenization.Vec 2 → ℝ) =>
Integration.Twistie1MeanZeroContract I hΦ m (I.kappaSeq κ M m) T
theorem
AVenhance.Infra.Section5.Contracts.tinyMeanZero_contract
(β C₀ : ℝ)
:
∃ (C₁ : ℝ),
Integration.OnA7Instances β C₀ C₁
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) (_θprev : ℝ → Homogenization.Vec 2 → ℝ)
(T : ℕ → ℝ → Homogenization.Vec 2 → ℝ) =>
Integration.TinyMeanZeroContract I hΦ m (I.kappaSeq κ M m) (I.kappaSeq κ M (m - 1)) T