Pair Light Prepared4 — right signatures checked

Proved

D1Bound5.PairLightPrepared4.right_signatures_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightPrepared4.right_signatures_checked in the proof of the bound five for Diophantine D(1) sets in imaginary quadratic integer rings. The formal statement specifies its hypotheses and conclusion; a mathematical prose description remains to be supplied.

Preamble

import Init
import Mathlib.Data.List.Basic
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData4RightCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData4Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightPrepared4
set_option maxRecDepth 100000
set_option maxHeartbeats 0



theorem _root_.D1Bound5.PairLightPrepared4.right_signatures_checked :
    (rightCached.all fun x => decide (x.2 = pairLightCoordinateSignature sieve x.1)) = true := by sorry





end D1Bound5.PairLightPrepared4
end

Source

D1Bound5/SmallPairLightRight4.lean, lines 17-19, SHA-256 af490fafe2140096d1196861c7c81d7b7312ce7cc6bf879f24e18e7238508656. Project: https://github.com/tomislav-math/d1-bound5-lean

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