One Small Third Rows 31 complete

Proved

D1Bound5.oneSmallThirdRows_31_complete

by tp · Oct 23, 2026 · Mathlib 0df444a (Lean v4.33.1)

diophantine-tuplesnumber-theory

Auxiliary result oneSmallThirdRows_31_complete in the proof of the bound five for Diophantine D(1) sets in imaginary quadratic integer rings. The formal statement specifies its hypotheses and conclusion; a mathematical prose description remains to be supplied.

Preamble

import Mathlib.Algebra.QuadraticAlgebra.Basic
import Mathlib.Algebra.Ring.Basic
import Mathlib.Algebra.Ring.Equiv
import Mathlib.Data.Finset.Card
import Mathlib.Data.Finset.Prod
import Mathlib.Data.Int.Interval
import Mathlib.Data.Int.Sqrt
import Mathlib.Data.List.Range
import Mathlib.Tactic.IntervalCases
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination
import Definitions.Def_D1Bound5_Coordinates_Definitions
import Definitions.Def_D1Bound5_OneSmallRows_Definitions
import Definitions.Def_D1Bound5_OneSmallThirdData_Definitions_002

Formal statement

section
namespace D1Bound5
open QuadInt













































































theorem _root_.D1Bound5.oneSmallThirdRows_31_complete :
    OneSmallThirdRowProperty oneSmallPairA_31 oneSmallPairB_31 := by sorry

















end D1Bound5
end

Source

D1Bound5/OneSmallRows.lean, lines 419-426, SHA-256 5d9e96e3d46ca1e91403fd677ac916a5fa55d59330a9fc532fee6467ec77e849. Project: https://github.com/tomislav-math/d1-bound5-lean

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