Small Tail Check rectangular
ProvedD1Bound5.smallTailCheck_rectangulardiophantine-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