Selected-floor prefix certificate for prepared pair 3, left list, part 7

Proved

D1Bound5.PairLightAdaptivePrepared3.left_prefix_001_part07_checked

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

diophantine-tuplesnumber-theory

For prepared pair 3, left list, part 7, the selected-floor certificate succeeds for at most 24 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 PairLightPrepared3.sieve. Original heads 280 through 303, 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_SmallPairLightData3LeftRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData3Left_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData3Left_Definitions_002

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared3
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared3.left_prefix_001_part07_checked :
    pairLightSelectedFloorPrefixBool 0 1 PairLightPrepared3.sieve 24
      (PairLightPrepared3.leftCached.drop 280)
      (PairLightPrepared3.leftRows.drop 280) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared3
end

Source

D1Bound5/SmallPairLightAdaptiveLeft3_001Part07.lean, lines 9-14, SHA-256 bc222961c666fadfbf0ebb7b981ab208864a1c9b4a2185c591ff5e7333250191. Project: https://github.com/tomislav-math/d1-bound5-lean

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