Selected-floor prefix certificate for prepared pair 14, left list, part 7

Proved

D1Bound5.PairLightAdaptivePrepared14.left_parallel_001_part07_checked

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

diophantine-tuplesnumber-theory

For prepared pair 14, left list, part 7, 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 172 through 183, 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_001_part07_checked :
    pairLightSelectedFloorPrefixBool 0 2 PairLightPrepared14.sieve 12
      (PairLightPrepared14.leftCached.drop 172) (PairLightPrepared14.leftRows.drop 172) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared14
end

Source

D1Bound5/SmallPairParallelLeft14_001Part07.lean, lines 10-14, SHA-256 ce2b5fb8d18ac54896aecb1367378f0b094f0ea808b686c2be975de3a07c412a. Project: https://github.com/tomislav-math/d1-bound5-lean

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