Pair Light Adaptive Prepared45 — right signatures checked

Proved

D1Bound5.PairLightAdaptivePrepared45.right_signatures_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightAdaptivePrepared45.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 Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData45_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData45_Definitions_004

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared45
set_option maxRecDepth 100000
set_option maxHeartbeats 0







theorem _root_.D1Bound5.PairLightAdaptivePrepared45.right_signatures_checked :
    (PairLightPrepared45.rightCached.all fun x =>
      decide (x.2 = pairLightCoordinateSignature PairLightPrepared45.sieve x.1)) = true := by sorry


end D1Bound5.PairLightAdaptivePrepared45
end

Source

D1Bound5/SmallPairLightAdaptiveValidation45.lean, lines 20-23, SHA-256 f5a0f1638124d14895e8cafe95e265b8e65259621ab57acbebcef613eb302b11. Project: https://github.com/tomislav-math/d1-bound5-lean

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