Selected-floor prefix certificate for prepared pair 4, right list, part 0

Proved

D1Bound5.PairLightAdaptivePrepared4.right_prefix_003_part00_checked

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

diophantine-tuplesnumber-theory

For prepared pair 4, right list, part 0, the selected-floor certificate succeeds for at most 20 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 = 1, and the sieve is PairLightPrepared4.sieve. Original heads 255 through 274, retaining complete original tails.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData4RightCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData4RightRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData4Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared4
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared4.right_prefix_003_part00_checked :
    pairLightSelectedFloorPrefixBool 0 1 PairLightPrepared4.sieve 20
      (PairLightPrepared4.rightCached.drop 255)
      (PairLightPrepared4.rightRows.drop 255) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared4
end

Source

D1Bound5/SmallPairLightAdaptiveRight4_003Part00.lean, lines 11-16, SHA-256 bb8b7a9d95305ea0a539666637c3fee7ca80268ea50d6e9fdb88b50a38928380. Project: https://github.com/tomislav-math/d1-bound5-lean

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