Selected-floor prefix certificate for prepared pair 11, left list, part 3

Proved

D1Bound5.PairLightAdaptivePrepared11.left_prefix_001_part03_checked

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

diophantine-tuplesnumber-theory

For prepared pair 11, left list, part 3, the selected-floor certificate succeeds for at most 89 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 PairLightPrepared11.sieve. Original heads 270 through 358, each compared with its entire remaining tail.

Preamble

import Init
import Definitions.Def_D1Bound5_PairLightArithmeticChunks_Definitions
import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions
import Definitions.Def_D1Bound5_SmallPairLightAdaptiveData11_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData11Left_Definitions_001

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared11
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared11.left_prefix_001_part03_checked :
    pairLightSelectedFloorPrefixBool 0 1 PairLightPrepared11.sieve 89
      (leftCached001.drop 132) (leftRows001.drop 132) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared11
end

Source

D1Bound5/SmallPairLightAdaptiveLeft11_001Part03.lean, lines 7-11, SHA-256 9b48b0f37933876e34461fca92ef8cfda59a4e1fee5911b0766abc83b46f1910. Project: https://github.com/tomislav-math/d1-bound5-lean

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