Dvd det of dvd column combination

import Mathlib.Algebra.Polynomial.Div
import Mathlib.LinearAlgebra.Matrix.Polynomial

section
open Finset Polynomial Matrix

namespace D1Bound5

/-!
This module isolates an intermediate step in the all-orders Bennett determinant
argument. It does not define the residue polynomials or prove their cancellation.
The required cancellation is an explicit hypothesis of the final theorem.
-/

section CommRing

variable {R ι : Type*} [CommRing R] [Fintype ι] [DecidableEq ι]


theorem _root_.D1Bound5.dvd_det_of_dvd_column_combination (A : Matrix ι ι R) (c : ι → R)
    (q : ι) (hc : c q = 1) (z : R)
    (hres : ∀ i, z ∣ ∑ j, c j * A i j) : z ∣ A.det := by sorry









end CommRing

end D1Bound5
end