One le norm integer

import Mathlib.Algebra.QuadraticAlgebra.Basic
import Mathlib.Algebra.Ring.Basic
import Mathlib.Algebra.Ring.Equiv
import Mathlib.Analysis.Complex.Norm
import Mathlib.Data.Finset.Card
import Mathlib.Data.Int.GCD
import Mathlib.LinearAlgebra.Dimension.Free
import Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex
import Mathlib.NumberTheory.NumberField.Norm
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination

section
open scoped NumberField ComplexConjugate
open Module

namespace D1Bound5

variable {K : Type*} [Field K] [NumberField K] [NumberField.IsTotallyComplex K]








theorem _root_.D1Bound5.one_le_norm_integer (hK : finrank ℚ K = 2) (φ : K →+* ℂ)
    {x : 𝓞 K} (hx : x ≠ 0) : 1 ≤ ‖φ (x : K)‖ := by sorry



end D1Bound5
end