import Mathlib

/- Original: V = V1 + V2 , where ( V1 = χ(|x| < r)V (x), |V1 (x)| ⩽ Cr2d ⟨x⟩−D , (3 -/
theorem eq_2ddaee8030fa39eb (Cr2d : ℕ) (D : ℕ) (V : ℕ) (V1 : ℕ) (V2 : ℕ) (r : ℕ) (where : ℕ) (x : ℕ) (χ : ℕ) : V = V1 + V2 ∧ where ( V1 = χ(|x| < r)V (x) ∧ |V1 (x)| ⩽ Cr2d ⟨x⟩-D ∧ (3 := by
  omega