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Quad Int — three le discriminant

Proved
D1Bound5.QuadInt.three_le_discriminant

by tp · Oct 24, 2026 · Mathlib 0df444a (Lean v4.33.1)

diophantine-tuplesnumber-theory

Every positive discriminant of an integral quadratic coordinate ring is at least three, including nonmaximal orders.

Preamble
import Mathlib.Algebra.QuadraticAlgebra.Basic
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination
import Definitions.Def_D1Bound5_Coordinates_Definitions

Formal statement
section
namespace D1Bound5


theorem _root_.D1Bound5.QuadInt.three_le_discriminant {tau nu : ℤ}
    (hd : 0 < QuadInt.discriminant tau nu) :
    3 ≤ QuadInt.discriminant tau nu := by sorry








end D1Bound5
end
Source
D1Bound5/OneThree.lean, lines 6-17, SHA-256 c460b2250b70545a8f61a27e15dc979839749602cbbccd3fc8fadf6e21e02682. Project: https://github.com/tomislav-math/d1-bound5-lean

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