Validity of coordinate square mask smallPairMask_0_5_9

Proved

D1Bound5.smallPairMask_0_5_9_valid

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

diophantine-tuplesnumber-theory

The mask smallPairMask_0_5_9 accepts every square modulo 29 in the quadratic coordinate algebra with relation ω² = τω − ν, where τ = 0 and ν = 5. 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_FastSquareTest_Definitions
import Definitions.Def_D1Bound5_SmallPairSieve_0_5_Definitions

Formal statement

section
namespace D1Bound5
set_option maxRecDepth 100000
set_option maxHeartbeats 0





























theorem _root_.D1Bound5.smallPairMask_0_5_9_valid : CoordinateSquareMaskValid 0 5 28 smallPairMask_0_5_9 := by sorry


















































end D1Bound5
end

Source

D1Bound5/SmallPairSieve_0_5.lean, lines 53-55, SHA-256 7a1c66749a7296901da53a817667c58ea7753e9138d50b875e12f2fb9ceb15be. Project: https://github.com/tomislav-math/d1-bound5-lean

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