Small Disk 0 2 eq

Proved

D1Bound5.smallDisk_0_2_eq

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

diophantine-tuplesnumber-theory

Auxiliary result smallDisk_0_2_eq 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.Tactic.IntervalCases
import Mathlib.Tactic.Linarith
import Definitions.Def_D1Bound5_Coordinates_Definitions
import Definitions.Def_D1Bound5_DiskEnumeration_Definitions
import Definitions.Def_D1Bound5_SmallQuadrupleData_Definitions

Formal statement

section
namespace D1Bound5
open QuadInt
set_option maxRecDepth 32768
set_option maxHeartbeats 6000000











theorem _root_.D1Bound5.smallDisk_0_2_eq : disk 0 2 8 = smallDisk_0_2.toFinset := by sorry























































































































end D1Bound5
end

Source

D1Bound5/SmallQuadrupleData.lean, lines 26-27, SHA-256 83944223ca113d2d1cc1c359d4a5cef8fb9f895b6e7bf9288b74b8f7a03d8908. Project: https://github.com/tomislav-math/d1-bound5-lean

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