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

Proved

D1Bound5.PairLightAdaptivePrepared14.left_parallel_000_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 4 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 84 through 87, 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_000_part07_checked :
    pairLightSelectedFloorPrefixBool 0 2 PairLightPrepared14.sieve 4
      (PairLightPrepared14.leftCached.drop 84) (PairLightPrepared14.leftRows.drop 84) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared14
end

Source

D1Bound5/SmallPairParallelLeft14_000Part07.lean, lines 10-14, SHA-256 3c96864ba9e340ab664060cd387609c5b3d65eedfd654df81f8a91c00b3b8527. Project: https://github.com/tomislav-math/d1-bound5-lean

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