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LeanPool.AnomalousDiffusion.AVenhance.Infra.Section4.Amnr.WordLinearCalculus

Word Linear Calculus #

Support for the Armstrong–Vicol anomalous-diffusion formalization.

theorem AVenhance.Infra.Section4.amnrWord_add {U : Set AmnrSpace} (hU : IsOpen U) {b : AmnrSpace → Homogenization.Vec 2} {f g : AmnrSpace → ℝ} {N : ℕ} (hb : ContDiffOn ℝ (↑N) b U) (hf : ContDiffOn ℝ (↑N) f U) (hg : ContDiffOn ℝ (↑N) g U) (w : List (Option (Fin 2))) (hw : w.length ≤ N) :
Set.EqOn (amnrWord b w (f + g)) (amnrWord b w f + amnrWord b w g) U