One Small Fixed Rows bounded growth

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.Data.List.Range
import Mathlib.Tactic.IntervalCases
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination
import Definitions.Def_D1Bound5_Coordinates_Definitions
import Definitions.Def_D1Bound5_OneSmallRows_Definitions

section
namespace D1Bound5
open QuadInt










theorem _root_.D1Bound5.oneSmallFixedRows_bounded_growth (r : OneSmallTripleRow)
    (hr : r ∈ oneSmallFixedRows) (z : QuadInt r.tau r.nu) (hz : z.norm < r.cutoff)
    (ha : ∃ q, q*q = r.anchorA*z+1) (hb : ∃ q, q*q = r.anchorB*z+1)
    (hs : ∃ q, q*q = r.anchorS*z+1) : z.norm ≤ 4*r.anchorB.norm*r.anchorS.norm := by sorry





















































































end D1Bound5
end