TermContinuousContract #
Each of the ten §5.1 terms of the actual ansatz is jointly continuous on the open half space
(TermContinuityDiv: the divergence-form terms; TermContinuityPointwise: the others), hence on
(0,1) × ℝ².
theorem
AVenhance.Infra.Section5.Contracts.termContinuous_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.TermContinuousContract I hΦ m (I.kappaSeq κ M m) (I.kappaSeq κ M (m - 1)) T
TermContinuousContract (big-bound estimate term_continuous, also consumed by step-down
part (ii)).