Selected-floor prefix certificate for prepared pair 6, right list, part 1

Proved

D1Bound5.PairLightAdaptivePrepared6.right_prefix_003_part01_checked

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

diophantine-tuplesnumber-theory

For prepared pair 6, right list, part 1, the selected-floor certificate succeeds for at most 16 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 PairLightPrepared6.sieve. Original heads 233 through 248, retaining complete original tails.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData6RightCached_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData6RightRows_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData6Sieve_Definitions

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared6
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared6.right_prefix_003_part01_checked :
    pairLightSelectedFloorPrefixBool 0 1 PairLightPrepared6.sieve 16
      (PairLightPrepared6.rightCached.drop 233)
      (PairLightPrepared6.rightRows.drop 233) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared6
end

Source

D1Bound5/SmallPairLightAdaptiveRight6_003Part01.lean, lines 11-16, SHA-256 406b5066d33c928435ff2a9cf42a51ce154df93d2c5154a0c710af262800d4a7. Project: https://github.com/tomislav-math/d1-bound5-lean

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