Validity of coordinate square mask smallPairMask_0_6_3

Proved

D1Bound5.smallPairMask_0_6_3_valid

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

diophantine-tuplesnumber-theory

The mask smallPairMask_0_6_3 accepts every square modulo 7 in the quadratic coordinate algebra with relation ω² = τω − ν, where τ = 0 and ν = 6. 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_6_Definitions

Formal statement

section
namespace D1Bound5
set_option maxRecDepth 100000
set_option maxHeartbeats 0











theorem _root_.D1Bound5.smallPairMask_0_6_3_valid : CoordinateSquareMaskValid 0 6 6 smallPairMask_0_6_3 := by sorry




































































end D1Bound5
end

Source

D1Bound5/SmallPairSieve_0_6.lean, lines 23-25, SHA-256 039d6ed0595df155d20a4352a6e96fcb683b909e3c29c990bf40514bd1a3371d. Project: https://github.com/tomislav-math/d1-bound5-lean

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