Signed Entry Bounds nine or neg

import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.Complex.Polynomial.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
import Definitions.Def_D1Bound5_MixedRootMatrixSigns_Definitions

section
namespace D1Bound5










theorem _root_.D1Bound5.signedEntryBounds_nine_or_neg {R : Type*} [CommRing R]
    (f : R →+* ℂ) (a b r : R) (u v : ℂ)
    (hu : u^2 = f a) (hv : v^2 = f b)
    (hr : r^2 = a*b+1) (hab : 9 ≤ ‖f a * f b‖) :
    SignedEntryBounds f a b u v r (7/13) (1/64) ∨
      SignedEntryBounds f a b u v (-r) (7/13) (1/64) := by sorry







end D1Bound5
namespace D1Bound5





end D1Bound5
end