Bennett Cleared Residue off Diagonal at node

import Lean.Elab.Tactic.Omega
import Mathlib.Algebra.Polynomial.BigOperators
import Mathlib.Algebra.Polynomial.Degree.Operations
import Mathlib.RingTheory.PowerSeries.Binomial
import Mathlib.Tactic.Ring
import Definitions.Def_D1Bound5_BennettClearedResidues_Definitions

section
open Finset

namespace D1Bound5

variable {F : Type*} [Field F] [CharZero F]









section Nodes

variable {I : Type*} [DecidableEq I]












theorem _root_.D1Bound5.bennettClearedResidue_offDiagonal_at_node
    (s : Finset I) (a : I → F) (k : ℕ) (hk : 1 ≤ k) (ν : F)
    (i j : I) (hij : i ≠ j) :
    (bennettClearedResidue s a k ν i j).eval (-a j) = 0 := by sorry





end Nodes

end D1Bound5
end