No regular large tail core

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.Finset.Card
import Mathlib.Data.Int.GCD
import Mathlib.Data.Real.Basic
import Mathlib.LinearAlgebra.Dimension.Free
import Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex
import Mathlib.NumberTheory.NumberField.Norm
import Mathlib.Tactic.FieldSimp
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination
import Mathlib.Tactic.Ring

section
open scoped NumberField
open Module

namespace D1Bound5


theorem _root_.D1Bound5.no_regular_large_tail_core {R : Type*} [CommRing R] [Nontrivial R]
    (f : R →+* ℂ) (hn : ∀ s : R, s ≠ 0 → 1 ≤ ‖f s‖)
    (a b c d r u0 v0 w0 : R)
    (hr : r^2 = b*c+1) (hu0 : u0^2 = a*b+1)
    (hv0 : v0^2 = a*c+1) (hw0 : w0^2 = a*d+1)
    (hd : d = b+c+2*r)
    (hA : 1 ≤ ‖f a‖) (hB : 3 ≤ ‖f b‖) (hC : 4 ≤ ‖f c‖)
    (hAB : ‖f a‖ ≤ ‖f b‖) (hCD : ‖f c‖ ≤ ‖f d‖) : False := by sorry






end D1Bound5
end