Pair Residue Mask Nat Bool eq

Proved

D1Bound5.pairResidueMaskNatBool_eq

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

diophantine-tuplesnumber-theory

Exact equality with the accepted cached mask predicate for every input. No signature validity, residue bound, mask validity, or discriminant premise is needed. In particular, modulus one is included.

Preamble

import Mathlib.Algebra.QuadraticAlgebra.Basic
import Mathlib.Algebra.Ring.Basic
import Mathlib.Algebra.Ring.Equiv
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.Complex.Norm
import Mathlib.Analysis.Complex.Polynomial.Basic
import Mathlib.Data.Finset.Card
import Mathlib.Data.Finset.Prod
import Mathlib.Data.Int.GCD
import Mathlib.Data.Int.Interval
import Mathlib.Data.Int.Sqrt
import Mathlib.Data.ZMod.Basic
import Mathlib.LinearAlgebra.Dimension.Free
import Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex
import Mathlib.NumberTheory.NumberField.Norm
import Mathlib.Tactic.FieldSimp
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination
import Mathlib.Tactic.Ring
import Definitions.Def_D1Bound5_PairCachedResidues_Definitions
import Definitions.Def_D1Bound5_PairResidueMaskNat_Definitions

Formal statement

section
namespace D1Bound5




theorem _root_.D1Bound5.pairResidueMaskNatBool_eq (tau nu : ℤ) (k mask : ℕ) (u v : ℕ × ℕ) :
    pairResidueMaskNatBool tau nu k mask u v = pairResidueMaskBool tau nu k mask u v := by sorry

end D1Bound5
end

Source

D1Bound5/PairResidueMaskNat.lean, lines 17-36, SHA-256 f838a6119a4b84b5889032242bf1d0b6ceb9a78264fea0197c14bf45d2cae39f. Project: https://github.com/tomislav-math/d1-bound5-lean

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