Exists small normalized root error

import Mathlib.Analysis.Complex.Basic
import Mathlib.Data.Complex.Basic
import Mathlib.LinearAlgebra.Matrix.Determinant.Basic
import Mathlib.Tactic.FieldSimp
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination
import Mathlib.Tactic.NormNum
import Mathlib.Tactic.Ring

section
namespace D1Bound5




theorem _root_.D1Bound5.exists_small_normalized_root_error (a b u v r : ℂ)
    (hu : u^2=a) (hv : v^2=b) (hr : r^2=a*b+1)
    (hab : 9 ≤ ‖a*b‖) :
    ∃ t : ℂ, (t=u*r*v ∨ t=-(u*r*v)) ∧
      ‖t-a*b‖ < (16/31 : ℝ) ∧
      ‖(t-a*b)-(1/2 : ℂ)‖ < (128/8649 : ℝ) := by sorry








end D1Bound5
end