Small Tail Check of explicit list

import Mathlib.Algebra.QuadraticAlgebra.Basic
import Mathlib.Algebra.Ring.Basic
import Mathlib.Algebra.Ring.Equiv
import Mathlib.Data.Finset.Card
import Mathlib.Data.Finset.Prod
import Mathlib.Data.Int.Interval
import Mathlib.Data.Int.Sqrt
import Mathlib.Tactic.IntervalCases
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination
import Mathlib.Tactic.Ring
import Definitions.Def_D1Bound5_Coordinates_Definitions
import Definitions.Def_D1Bound5_DiskEnumeration_Definitions
import Definitions.Def_D1Bound5_FiniteTail_Definitions
import Definitions.Def_D1Bound5_SmallTailExplicit_Definitions

section
namespace D1Bound5
open QuadInt






theorem _root_.D1Bound5.smallTailCheck_of_explicit_list {tau nu : ℤ}
    (xs : List (QuadInt tau nu))
    (cover : ∀ z ∈ disk tau nu 15, z ∈ xs)
    (checked : tailListBool xs = true) : SmallTailCheck tau nu := by sorry

end D1Bound5
end