Cleared Pole Numerator top coeff

import Lean.Elab.Tactic.Omega
import Mathlib.Algebra.Polynomial.BigOperators
import Mathlib.Algebra.Polynomial.RingDivision
import Definitions.Def_D1Bound5_BennettResidueCoefficient_Definitions

section
open Finset Polynomial

namespace D1Bound5

section CommRing

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








theorem _root_.D1Bound5.clearedPoleNumerator_top_coeff (a : ι → R) (e : ι → ℕ)
    (i : ι) (j : Fin (e i + 1)) :
    (clearedPoleNumerator a e i j).coeff ((∑ l, (e l + 1)) - 1) =
      if j = Fin.last (e i) then 1 else 0 := by sorry





end CommRing

end D1Bound5
end