Selected-floor prefix certificate for prepared pair 43, right list, part 3

Proved

D1Bound5.PairLightAdaptivePrepared43.right_prefix_002_part03_checked

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

diophantine-tuplesnumber-theory

For prepared pair 43, right list, part 3, the selected-floor certificate succeeds for at most 24 head rows of the supplied cached vertex list. Each selected head is checked against its complete remaining tail, including vertices beyond the end of this chunk. The quadratic coordinate parameters are τ = 1 and ν = 3, and the sieve is PairLightPrepared43.sieve. Original heads 286 through 309, each checked against its complete tail.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData43Left_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData43Right_Definitions_002
import Definitions.Def_D1Bound5_SmallPairLightData43Right_Definitions_003

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared43
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared43.right_prefix_002_part03_checked :
    pairLightSelectedFloorPrefixBool 1 3 PairLightPrepared43.sieve 24
      (PairLightPrepared43.rightCached.drop 286)
      (PairLightPrepared43.rightRows.drop 286) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared43
end

Source

D1Bound5/SmallPairLightAdaptiveRight43_002Part03.lean, lines 9-14, SHA-256 3d255dcb38e898c117a8d20ba8df607b31f1b8f6547ae17a4f7d710140acc6cd. Project: https://github.com/tomislav-math/d1-bound5-lean

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