Selected-floor prefix certificate for prepared pair 43, left list, part 10

Proved

D1Bound5.PairLightAdaptivePrepared43.left_prefix_002_part10_checked

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

diophantine-tuplesnumber-theory

For prepared pair 43, left list, part 10, 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 = 1 and ν = 3, and the sieve is PairLightPrepared43.sieve. Original heads 452 through 475, 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_SmallPairLightData43Left_Definitions_001
import Definitions.Def_D1Bound5_SmallPairLightData43Left_Definitions_002
import Definitions.Def_D1Bound5_SmallPairLightData43Left_Definitions_003

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared43
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared43.left_prefix_002_part10_checked :
    pairLightSelectedFloorPrefixBool 1 3 PairLightPrepared43.sieve 24
      (PairLightPrepared43.leftCached.drop 452)
      (PairLightPrepared43.leftRows.drop 452) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared43
end

Source

D1Bound5/SmallPairLightAdaptiveLeft43_002Part10.lean, lines 8-13, SHA-256 bf308f8bfdfc5d3dadd4e7985bb9192d37a37e079cc3b6a0f0ed95e9125129e7. Project: https://github.com/tomislav-math/d1-bound5-lean

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