Selected-floor prefix certificate for prepared pair 25, left list, part 2

Proved

D1Bound5.PairLightAdaptivePrepared25.left_prefix_000_part02_checked

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

diophantine-tuplesnumber-theory

For prepared pair 25, left list, part 2, the selected-floor certificate succeeds for at most 28 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 = 1, and the sieve is PairLightPrepared25.sieve. Original heads 50 through 77, 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_SmallPairLightAdaptiveData25_Definitions
import Definitions.Def_D1Bound5_SmallPairLightData25Left_Definitions_001

Formal statement

section
namespace D1Bound5.PairLightAdaptivePrepared25
set_option maxRecDepth 100000
set_option maxHeartbeats 0


theorem _root_.D1Bound5.PairLightAdaptivePrepared25.left_prefix_000_part02_checked :
    pairLightSelectedFloorPrefixBool 1 1 PairLightPrepared25.sieve 28
      (leftCached000.drop 50) (leftRows000.drop 50) = true := by sorry

end D1Bound5.PairLightAdaptivePrepared25
end

Source

D1Bound5/SmallPairLightAdaptiveLeft25_000Part02.lean, lines 7-11, SHA-256 e497a4f96789a5149608340a1a5fee243352f6b7690d664432192ef432cedc41. Project: https://github.com/tomislav-math/d1-bound5-lean

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