Selected-floor prefix certificate for prepared pair 15, right list, part 19

Proved

D1Bound5.PairLightAdaptivePrepared15.right_parallel_002_part19_checked

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

diophantine-tuplesnumber-theory

For prepared pair 15, right list, part 19, 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 PairLightPrepared15.sieve. Original heads 442 through 453, with every original tail comparison.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData15RightCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData15RightRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData15Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared15
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared15.right_parallel_002_part19_checked :
    pairLightSelectedFloorPrefixBool 0 2 PairLightPrepared15.sieve 12
      (PairLightPrepared15.rightCached.drop 442) (PairLightPrepared15.rightRows.drop 442) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared15
end

Source

D1Bound5/SmallPairParallelRight15_002Part19.lean, lines 10-14, SHA-256 a5cc7fffed5510a7fcfe3a0de2e8fda86b110c0da4169c24cd2dee11e68db55e. Project: https://github.com/tomislav-math/d1-bound5-lean

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