Selected-floor prefix certificate for prepared pair 14, left list, part 10

Proved

D1Bound5.PairLightAdaptivePrepared14.left_parallel_002_part10_checked

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

diophantine-tuplesnumber-theory

For prepared pair 14, left list, part 10, 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 = 0 and ν = 2, and the sieve is PairLightPrepared14.sieve. Original heads 322 through 333, with every original tail comparison.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData14LeftCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData14LeftRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData14Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared14
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared14.left_parallel_002_part10_checked :
    pairLightSelectedFloorPrefixBool 0 2 PairLightPrepared14.sieve 12
      (PairLightPrepared14.leftCached.drop 322) (PairLightPrepared14.leftRows.drop 322) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared14
end

Source

D1Bound5/SmallPairParallelLeft14_002Part10.lean, lines 10-14, SHA-256 99908597f70a1251ded159855d01475c1a05958c4fa824bf4540cf526eefb4ca. Project: https://github.com/tomislav-math/d1-bound5-lean

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