Validity of coordinate square mask mask

Proved

D1Bound5.coordinateSquareMaskCheck_sound

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

diophantine-tuplesnumber-theory

The mask mask accepts every square modulo (k) + 1 in the quadratic coordinate algebra with relation ω² = τω − ν, where τ = tau and ν = nu. This includes the zero square.

Preamble

import Mathlib.Algebra.QuadraticAlgebra.Basic
import Mathlib.Data.Int.Sqrt
import Mathlib.Data.ZMod.Basic
import Mathlib.Tactic.Linarith
import Definitions.Def_D1Bound5_CoordinateSquareMaskCheck_Definitions
import Definitions.Def_D1Bound5_FastSquareTest_Definitions

Formal statement

section
namespace D1Bound5






theorem _root_.D1Bound5.coordinateSquareMaskCheck_sound (tau nu : ℤ) (k mask : ℕ)
    (h : coordinateSquareMaskCheck tau nu k mask = true) :
    CoordinateSquareMaskValid tau nu k mask := by sorry

end D1Bound5

namespace D1Bound5





end D1Bound5
end

Source

D1Bound5/CoordinateSquareMaskCheck.lean, lines 18-50, SHA-256 d2d8bc2ee22d2527d31449ebcfb799b981fd548c07c5db168946e1208c6d24cc. Project: https://github.com/tomislav-math/d1-bound5-lean

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