Pair Light Adaptive Prepared48 — left signatures checked

Proved

D1Bound5.PairLightAdaptivePrepared48.left_signatures_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightAdaptivePrepared48.left_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_SmallPairLightData48Left_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData48Left_Definitions_002

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared48
set_option maxRecDepth 100000
set_option maxHeartbeats 0



theorem _root_.D1Bound5.PairLightAdaptivePrepared48.left_signatures_checked :
    (PairLightPrepared48.leftCached.all fun x =>
      decide (x.2 = pairLightCoordinateSignature PairLightPrepared48.sieve x.1)) = true := by sorry






end D1Bound5.PairLightAdaptivePrepared48
end

Source

D1Bound5/SmallPairLightAdaptiveValidation48.lean, lines 11-14, SHA-256 319232bf4bab3b695baf462787b190e884b74b2631b94072c38d3b3b2ca51a5e. Project: https://github.com/tomislav-math/d1-bound5-lean

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