Small Triple Representative 3 property
ProvedD1Bound5.smallTripleRepresentative_3_propertydiophantine-tuplesnumber-theory
Both finite-extension consequences for manuscript representative 3.
Preamble
import Mathlib.Algebra.Group.Int.Units import Mathlib.Algebra.Polynomial.Monic import Mathlib.Algebra.QuadraticAlgebra.Basic import Mathlib.Algebra.Ring.Basic import Mathlib.Algebra.Ring.Equiv import Mathlib.Algebra.Squarefree.Basic import Mathlib.Analysis.Complex.Basic import Mathlib.Analysis.Complex.Norm import Mathlib.Analysis.Complex.Polynomial.Basic import Mathlib.Data.Fin.Tuple.Sort import Mathlib.Data.Finset.Card import Mathlib.Data.Finset.Prod import Mathlib.Data.Fintype.EquivFin import Mathlib.Data.Int.GCD import Mathlib.Data.Int.Interval import Mathlib.Data.Int.Sqrt import Mathlib.Data.List.Range import Mathlib.LinearAlgebra.Dimension.Free import Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex import Mathlib.NumberTheory.NumberField.Norm import Mathlib.Tactic.FieldSimp 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_SmallExtensionSymmetry_Definitions import Definitions.Def_D1Bound5_SmallTripleExtensionData3_Definitions
Formal statement
section
open scoped NumberField
open Module
namespace D1Bound5
open QuadInt
theorem _root_.D1Bound5.smallTripleRepresentative_3_property
{K : Type*} [Field K] [NumberField K] [NumberField.IsTotallyComplex K]
(hK : finrank ℚ K = 2) (phi : K →+* ℂ)
(e : QuadInt 0 1 ≃+* 𝓞 K) :
SmallTripleExtensionProperty
{smallTripleAnchorA_3, smallTripleAnchorB_3, smallTripleAnchorC_3} := by sorry
end D1Bound5
end
Source
D1Bound5/SmallTripleRepresentativeProperties.lean, lines 57-73, SHA-256 a83bbabd2bee324566724658a0b1876696641e481ed94e75fb471c1207165f52. Project: https://github.com/tomislav-math/d1-bound5-lean