Is D1Tuple — cross Block growth

import Mathlib.Algebra.QuadraticAlgebra.Basic
import Mathlib.Algebra.Ring.Basic
import Mathlib.Algebra.Ring.Equiv
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.Complex.Norm
import Mathlib.Analysis.Complex.Polynomial.Basic
import Mathlib.Data.Complex.Basic
import Mathlib.Data.Finset.Card
import Mathlib.Data.Int.GCD
import Mathlib.LinearAlgebra.Dimension.Free
import Mathlib.LinearAlgebra.Matrix.Determinant.Basic
import Mathlib.LinearAlgebra.Matrix.ToLinearEquiv
import Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex
import Mathlib.NumberTheory.NumberField.Norm
import Mathlib.Tactic.FieldSimp
import Mathlib.Tactic.FinCases
import Mathlib.Tactic.GCongr
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination
import Mathlib.Tactic.NormNum
import Mathlib.Tactic.Ring
import Definitions.Def_D1Bound5_IsD1Tuple

section
open scoped BigOperators NumberField
open Module

namespace D1Bound5










theorem _root_.D1Bound5.IsD1Tuple.crossBlock_growth
    {K : Type*} [Field K] [NumberField K] [NumberField.IsTotallyComplex K]
    (hK : finrank ℚ K = 2) (phi : K →+* ℂ)
    {n : ℕ} (t : Fin n → 𝓞 K) (ht : IsD1Tuple t)
    (p q : Fin 3 ↪ Fin n) (hpq : ∀ i j, p i ≠ q j)
    (hmonA : Monotone (fun i => ‖phi (t (p i) : K)‖))
    (hmonB : Monotone (fun i => ‖phi (t (q i) : K)‖))
    (hlarge : 9 ≤ ‖phi (t (p 0) : K)‖*‖phi (t (q 0) : K)‖) :
    (‖phi (t (p 0) : K)‖*‖phi (t (q 0) : K)‖)^3*
        (‖phi (t (p 1) : K)‖*‖phi (t (q 1) : K)‖)/7 <
      ‖phi (t (p 2) : K)‖*‖phi (t (q 2) : K)‖ := by sorry

end D1Bound5
end