Selected-floor prefix certificate for prepared pair 23, left list, part 4

Proved

D1Bound5.PairLightAdaptivePrepared23.left_parallel_002_part04_checked

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

diophantine-tuplesnumber-theory

For prepared pair 23, left list, part 4, the selected-floor certificate succeeds for at most 12 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 = 1, and the sieve is PairLightPrepared23.sieve. Original heads 260 through 271, with every original tail comparison.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData23LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData23LeftRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData23Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared23
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared23.left_parallel_002_part04_checked :
    pairLightSelectedFloorPrefixBool 1 1 PairLightPrepared23.sieve 12
      (PairLightPrepared23.leftCached.drop 260) (PairLightPrepared23.leftRows.drop 260) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared23
end

Source

D1Bound5/SmallPairParallelLeft23_002Part04.lean, lines 10-14, SHA-256 625c16e300462469d56a17eac17d4d608cbf25e80f260b91b376a7b91d3bf578. Project: https://github.com/tomislav-math/d1-bound5-lean

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