Selected-floor prefix certificate for prepared pair 24, right list, part 1

Proved

D1Bound5.PairLightAdaptivePrepared24.right_prefix_000_part01_checked

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

diophantine-tuplesnumber-theory

For prepared pair 24, right list, part 1, 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 PairLightPrepared24.sieve. Original heads 12 through 23, each checked against its complete tail.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData24RightCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData24RightRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData24Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared24
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared24.right_prefix_000_part01_checked :
    pairLightSelectedFloorPrefixBool 1 1 PairLightPrepared24.sieve 12
      (PairLightPrepared24.rightCached.drop 12)
      (PairLightPrepared24.rightRows.drop 12) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared24
end

Source

D1Bound5/SmallPairLightAdaptiveRight24_000Part01.lean, lines 11-16, SHA-256 15fa1bd8034c1b485b8f137180a71e881ec80d355f4bc436dd00fb4ebf714854. Project: https://github.com/tomislav-math/d1-bound5-lean

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