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Small Tail Check rectangular

Proved
D1Bound5.smallTailCheck_rectangular

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

diophantine-tuplesnumber-theory

Complete finite certificate for the normalized parameter rectangle. Every data equality and every exclusion above is checked by the kernel.

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 Mathlib.Tactic.LinearCombination
import Mathlib.Tactic.Ring
import Definitions.Def_D1Bound5_Coordinates_Definitions
import Definitions.Def_D1Bound5_FiniteTail_Definitions

Formal statement
section
namespace D1Bound5
open QuadInt
set_option maxRecDepth 32768
set_option maxHeartbeats 6000000


































































































































































































































theorem _root_.D1Bound5.smallTailCheck_rectangular (tau nu : ℤ)
    (htau : tau = 0 ∨ tau = 1) (hlo : 1 ≤ nu) (hhi : nu ≤ 15)
    (_hpos : 0 < discriminant tau nu) : SmallTailCheck tau nu := by sorry

end D1Bound5
end
Source
D1Bound5/SmallTailAllData.lean, lines 485-522, SHA-256 b043adcb34167ee12d7125095cb2fb5aa023d0064768e88ccfe344b7e38716d1. Project: https://github.com/tomislav-math/d1-bound5-lean

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