Finite PPair Residual eq leading tail

import Mathlib.Algebra.BigOperators.Fin
import Mathlib.Algebra.BigOperators.NatAntidiagonal
import Mathlib.Analysis.Analytic.Binomial
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.Normed.Ring.Basic
import Mathlib.Analysis.SpecificLimits.Normed
import Mathlib.Data.Sym.Basic
import Mathlib.Data.Sym.Card
import Mathlib.LinearAlgebra.Matrix.Determinant.Basic
import Mathlib.LinearAlgebra.Matrix.NonsingularInverse
import Mathlib.RingTheory.Binomial
import Mathlib.RingTheory.MvPolynomial.Symmetric.Defs
import Mathlib.Tactic.FieldSimp
import Mathlib.Tactic.FinCases
import Mathlib.Tactic.NormNum
import Mathlib.Tactic.Ring
import Definitions.Def_D1Bound5_FinitePResidualIdentity_Definitions

section
open Finset

namespace D1Bound5

attribute [local simp] Matrix.cons_val_two Matrix.cons_val_three





















set_option maxHeartbeats 2000000 in

theorem _root_.D1Bound5.finitePPairResidual_eq_leading_tail (u v c : ℂ)
    (hu : u ≠ 0) (hv : v ≠ 0) (hc : c ≠ 0) (kind : Fin 2) :
    finitePPairResidual u v c kind =
      ![finitePLeadingR u v,finitePLeadingT u v] kind/c^5+finitePPairTail u v c kind := by sorry













end D1Bound5
end