Pair Light Adaptive Prepared12 — right signatures checked

Proved

D1Bound5.PairLightAdaptivePrepared12.right_signatures_checked

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

diophantine-tuplesnumber-theory

Auxiliary result PairLightAdaptivePrepared12.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_SmallPairLightData12_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData12_Definitions_005

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared12
set_option maxRecDepth 100000
set_option maxHeartbeats 0







theorem _root_.D1Bound5.PairLightAdaptivePrepared12.right_signatures_checked :
    (PairLightPrepared12.rightCached.all fun x =>
      decide (x.2 = pairLightCoordinateSignature PairLightPrepared12.sieve x.1)) = true := by sorry


end D1Bound5.PairLightAdaptivePrepared12
end

Source

D1Bound5/SmallPairLightAdaptiveValidation12.lean, lines 20-23, SHA-256 7ea2998c8fc34b30bcfda455e199108a66afa51941475592434132b58fed3179. Project: https://github.com/tomislav-math/d1-bound5-lean

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