Normalized Root Error det

import Mathlib.Data.Complex.Basic
import Mathlib.LinearAlgebra.Matrix.Determinant.Basic
import Mathlib.Tactic.LinearCombination
import Mathlib.Tactic.NormNum
import Mathlib.Tactic.Ring
import Definitions.Def_D1Bound5_DeterminantNormalization_Definitions

section
open scoped BigOperators
open Matrix

namespace D1Bound5
















theorem _root_.D1Bound5.normalizedRootError_det {R n : Type*} [CommRing R]
    [Fintype n] [DecidableEq n] (a u : n → R) (M : Matrix n n R)
    (hu : ∀ i, (u i)^2 = a i) :
    Matrix.det (fun i j => a i*a j + normalizedRootError a u M i j) =
      (∏ i, a i) * M.det := by sorry



end D1Bound5
end