Quad Int — three le discriminant
ProvedD1Bound5.QuadInt.three_le_discriminantdiophantine-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